segment addition postulate if three points, a, b, and c, are...
TRANSCRIPT
![Page 1: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/1.jpg)
Segment Addition Postulate.If three points, A, B, and C, are
collinear, and point B is between points A and C, then
AB + BC = AC
![Page 2: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/2.jpg)
Segment Addition Postulate.If three points, A, B, and C, are
collinear, and point B is between points A and C, then
AB + BC = AC
A B C
![Page 3: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/3.jpg)
Segment Addition Postulate.If three points, A, B, and C, are
collinear, and point B is between points A and C, then
AB + BC = AC
A B C
![Page 4: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/4.jpg)
Segment Addition Postulate.If three points, A, B, and C, are
collinear, and point B is between points A and C, then
AB + BC = AC
A B C
![Page 5: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/5.jpg)
Angle Addition Postulate.If three rays, AB, AC, and AD share a common endpoint, A, such that AC is
in the interior of , then
![Page 6: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/6.jpg)
Angle Addition Postulate.If three rays, AB, AC, and AD share a common endpoint, A, such that AC is
in the interior of , then
A
BC
•
••
D
![Page 7: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/7.jpg)
Angle Addition Postulate.If three rays, AB, AC, and AD share a common endpoint, A, such that AC is
in the interior of , then
A
BC
•
••
D
![Page 8: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/8.jpg)
Angle Addition Postulate.If three rays, AB, AC, and AD share a common endpoint, A, such that AC is
in the interior of , then
A
BC
•
••
D
![Page 9: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/9.jpg)
Angle Addition Postulate.If three rays, AB, AC, and AD share a common endpoint, A, such that AC is
in the interior of , then
A
BC
•
••
D
![Page 10: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/10.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are
congruent. (Addition property)
![Page 11: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/11.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are
congruent. (Addition property)
A B C D
![Page 12: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/12.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are
congruent. (Addition property)
A B C D
![Page 13: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/13.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are
congruent. (Addition property)
A B C D
![Page 14: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/14.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are
congruent. (Addition property)
A B C D
![Page 15: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/15.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are
congruent. (Addition property)
A B C DGiven: Prove:
![Page 16: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/16.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
A B C DGiven: Prove:
![Page 17: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/17.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
A B C DGiven: Prove:
![Page 18: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/18.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
A B C DGiven: Prove:
![Page 19: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/19.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
A B C DGiven: Prove:
![Page 20: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/20.jpg)
Theorem 9: If an angle is added to two congruent angles, the sums are
congruent. (Addition property)
![Page 21: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/21.jpg)
Theorem 9: If an angle is added to two congruent angles, the sums are
congruent. (Addition property)
1 23
• ••
•
A BC
DF
Given:
Prove:
![Page 22: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/22.jpg)
Theorem 9: If an angle is added to two congruent angles, the sums are
congruent. (Addition property)
1 23
• ••
•
A BC
DF
Given:
Prove:
![Page 23: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/23.jpg)
Theorem 10: If congruent segments are added to congruent segments,
the sums are congruent. (Addition property)
![Page 24: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/24.jpg)
Theorem 10: If congruent segments are added to congruent segments,
the sums are congruent. (Addition property)
•
•AB
C X
Y
Z
![Page 25: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/25.jpg)
Theorem 10: If congruent segments are added to congruent segments,
the sums are congruent. (Addition property)
•
•ABC X
Y
Z∂
![Page 26: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/26.jpg)
Theorem 10: If congruent segments are added to congruent segments,
the sums are congruent. (Addition property)
•
•ABC X
Y
Z∂
Given:
![Page 27: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/27.jpg)
Theorem 10: If congruent segments are added to congruent segments,
the sums are congruent. (Addition property)
•
•ABC X
Y
Z
Given:
Prove:
![Page 28: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/28.jpg)
Theorem 11: If congruent angles are added to congruent angles, the sums are congruent. (Addition property)
1
3
![Page 29: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/29.jpg)
Theorem 11: If congruent angles are added to congruent angles, the sums are congruent. (Addition property)
12
34
![Page 30: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/30.jpg)
Theorem 11: If congruent angles are added to congruent angles, the sums are congruent. (Addition property)
12
34
Given:
![Page 31: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/31.jpg)
Theorem 11: If congruent angles are added to congruent angles, the sums are congruent. (Addition property)
•
•
•
•
A
B C
X
YZ
12
34
Given:
Prove:
![Page 32: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/32.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments
(or angles), the differences are congruent. (Subtraction property)
![Page 33: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/33.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments
(or angles), the differences are congruent. (Subtraction property)
A B C D
Given: Prove:
![Page 34: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/34.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments
(or angles), the differences are congruent. (Subtraction property)
A B C D
Given: Prove:
![Page 35: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/35.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments
(or angles), the differences are congruent. (Subtraction property)
A B C D
Given: Prove:
![Page 36: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/36.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments
(or angles), the differences are congruent. (Subtraction property)
1 23
• ••
•
A BC
DF
Given:
Prove:
![Page 37: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/37.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments
(or angles), the differences are congruent. (Subtraction property)
1 23
• ••
•
A BC
DF
Given:
Prove:
![Page 38: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/38.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent
segments (or angles), the differences are congruent. (Subtraction property)
![Page 39: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/39.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent
segments (or angles), the differences are congruent. (Subtraction property)
•
•ABC X
Y
Z
Given:
Prove:
![Page 40: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/40.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent
segments (or angles), the differences are congruent. (Subtraction property)
•
•ABC X
Y
Z
Given:
Prove:
![Page 41: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/41.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent
segments (or angles), the differences are congruent. (Subtraction property)
•
•ABC X
Y
Z
Given:
Prove:
![Page 42: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/42.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent segments (or
angles), the differences are congruent. (Subtraction property)
•
•
•
•
A
B C
X
YZ
12
3
4
Given:
Prove:
![Page 43: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/43.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent segments (or
angles), the differences are congruent. (Subtraction property)
•
•
•
•
A
B C
X
YZ
12
3
4
Given:
Prove:
![Page 44: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/44.jpg)
Theorem 13: If congruent segments (or angles) are subtracted from congruent segments (or
angles), the differences are congruent. (Subtraction property)
•
•
•
•
A
B C
X
YZ
12
3
4
Given:
Prove:
![Page 45: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/45.jpg)
A B C D
Given:
Conclude:
![Page 46: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/46.jpg)
A B C D
Given:
Conclude:
![Page 47: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/47.jpg)
A B C D
Given:
Conclude:
![Page 48: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/48.jpg)
A B C D
Given:
Conclude:
![Page 49: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/49.jpg)
A B C DGiven:
Conclude:
66
![Page 50: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/50.jpg)
A B C DGiven:
Conclude:
66
![Page 51: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/51.jpg)
A B C DGiven:
Conclude:
66 4
![Page 52: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/52.jpg)
A B C DGiven:
Conclude:
66 4
![Page 53: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/53.jpg)
A B C DGiven:
Conclude:
9
![Page 54: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/54.jpg)
A B C DGiven:
Conclude:
9
![Page 55: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/55.jpg)
A B C DGiven:
Conclude:
9 1212
![Page 56: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/56.jpg)
A B C DGiven:
Conclude:
9 1212
![Page 57: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/57.jpg)
1 23
• ••
•
A BC
DF
Given: Conclude:
![Page 58: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/58.jpg)
1 23
• ••
•
A BC
DF
Given: Conclude:
![Page 59: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/59.jpg)
23
1
• ••
•
A BC
DF
Given: Conclude:
![Page 60: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/60.jpg)
1 23
• ••
•
A BC
DF
Given: Conclude:
![Page 61: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/61.jpg)
1 23
• ••
•
A BC
DF
Given: Conclude:
![Page 62: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/62.jpg)
1 23
• ••
•
A BC
DF
Given: Conclude:
![Page 63: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/63.jpg)
12
3
• ••
•
A BC
DFGiven: Conclude:
![Page 64: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/64.jpg)
12
3
• ••
•
A BC
DFGiven: Conclude:
40º 20º
![Page 65: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/65.jpg)
12
3
• ••
•
A BC
DFGiven: Conclude:
40º
40º 20º
![Page 66: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/66.jpg)
12
3
• ••
•
A BC
DFGiven: Conclude:
40º
40º 20º
![Page 67: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/67.jpg)
12
3
• ••
•
A BC
DFGiven: Conclude:
40º
40º 20º
![Page 68: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/68.jpg)
12
3
• ••
•
A BC
DFGiven: Conclude:
40º
40º 20º
![Page 69: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/69.jpg)
•
•
L
SC
Given:
Conclude:2
1
3
•
•B
A
![Page 70: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/70.jpg)
•
•
L
SC
Given:
Conclude:2
1
3
•
•B
A
![Page 71: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/71.jpg)
•
•
L
SC
Given:
Conclude:2
1
3
•
•B
A
![Page 72: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/72.jpg)
•
•
L
SC
Given:
Conclude:2
1
3
•
•B
A
![Page 73: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/73.jpg)
•
•
L
SC
Given:
Conclude:2
1
3
•
•B
A20º
20º
![Page 74: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/74.jpg)
•
•
L
SC
Given:
Conclude:2
1
3
•
•B
A20º
20º
50º
![Page 75: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/75.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
![Page 76: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/76.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
Theorem 9: If an angle is added to two congruent angles, the sums are congruent. (Addition property)
![Page 77: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/77.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
Theorem 9: If an angle is added to two congruent angles, the sums are congruent. (Addition property)
Theorem 10: If congruent segments are added to congruent segments, the sums are congruent.
(Addition property)
![Page 78: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/78.jpg)
Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition
property)
Theorem 9: If an angle is added to two congruent angles, the sums are congruent. (Addition property)
Theorem 10: If congruent segments are added to congruent segments, the sums are congruent.
(Addition property)
Theorem 11: If congruent angles are added to congruent angles, the sums are congruent. (Addition
property)
![Page 79: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/79.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments (or angles), the differences
are congruent. (Subtraction property)
![Page 80: Segment Addition Postulate If three points, A, B, and C, are ...tcanright.macmate.me/Geometry_Channel/Part_2g/Part_2g...Theorem 8: If a segment is added to two congruent segments,](https://reader033.vdocuments.mx/reader033/viewer/2022052502/609ae416d61f0a306a551f24/html5/thumbnails/80.jpg)
Theorem 12: If a segment (or angle) is subtracted from congruent segments (or angles), the differences
are congruent. (Subtraction property)
Theorem 13: If congruent segments (or angles) are subtracted from congruent segments (or angles), the
differences are congruent. (Subtraction property)