angle measurements
DESCRIPTION
created by student in UR tech integration courseTRANSCRIPT
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Angles and their Measurements
Delaine Sanders
www.flicr.com/photos/34669486/N00/40234362
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Angle Parts
http://www.flickr.com/photos/dcab2/3514913853/
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Angle Parts
http://www.flickr.com/photos/dcab2/3514913853/
2 Rays and a Vertex
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Angle Parts
.B
B
A
B
C
RAY BC →
RAY BA →
POINT B
BC
BA
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Angle Parts
C
A
B
2
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Angle Naming
B
ABC
CBA
2
A
B
C
2
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Angle Naming
A
B
C
D
12
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Angle Naming
ADB or BDA
BDC or CDB
ADC or CDA
1
2
A
B
C
D
12
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Angle Naming Practice (STOP)
A
BC
D
E
F
G
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Measuring Angles
Degrees
The angle is the amount ofrotation from one ray to the other ray.
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Measuring Angles
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protractor
Measuring Angles
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protractor
Measuring Angles
50
50 – 0 = 50m = 50
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protractor
Measuring Angles
130
130 – 0 = 130
m = 130
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Measuring Angles
50
50 – 0 = 50
180 – 130 = 50
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Measuring Angles (STOP)
Measuring Angles Practice – image on note sheet
Note sheet, clear protractors and 6 inch rulers
Paper Practice Measure side angle Measure corner angle Fold in half, measure corner angle
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0° - 90°
Acute Angles
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Acute Angles
http://www.flickr.com/photos/24418961@N05/3524410992/
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Acute Angles
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90° - 180°
Obtuse Angles
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Obtuse Angles
http://www.flickr.com/photos/enlightenedfellow/1578956556/
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Obtuse Angles
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= 90°
Right Angles
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Right Angle
http://www.flickr.com/photos/jefemontana/2317256019/
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Right Angle
http://www.flickr.com/photos/jefemontana/2317256019/
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Straight Angle
= 180 °
.
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Straight Angle
http://www.flickr.com/photos/forevermoosed/469130102/
http://www.flickr.com/photos/bolivar-trindade/3203862834/
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Straight Angle
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Interior / Exterior Point
. A
E
C
D
F .
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Interior / Exterior Point
. A
E
C
D
Point A is interior to DEC
Point F is exterior to DEC
Ray EA is interior to DEC
F .
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Angle Addition Postulate
The sum of the two smaller angles will always equal the measure of the larger angle.
R
M K
W
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Angle Addition Postulate
The sum of the two smaller angles will always equal the measure of the larger angle.
R
M K
W
m MRK + m KRW = m MRW
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Angle Addition Postulate
2
1
1 + 2 = ABC
A
B C
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Angle Addition Postulate
2
1
1 = 30 – 0 = 30
2 = 70 – 30 = 40
ABC = 30 + 40 = 70
A
B C
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Angle Addition Postulate
http://www.flickr.com/photos/svyates/2415340942/
12
Angle 1 = 2x
Angle 2 = x
Solve for angle 1
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Angle Bisector
An angle bisector is a ray that divides an angle into two equal angles.
A
B
C
E
ABC CBE
m ABC = m CBE
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Bisected Angle
http://www.flickr.com/photos/40256716@N00/367560012/
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Bisected Angle
http://www.flickr.com/photos/40256716@N00/367560012/
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Bisected Angle
Ray UK bisects angle U. What is the measure of angle U?
j41°
41°
64
U
K