line and angle relationships quiz review. types of angles acute angles have measures less than 90....
DESCRIPTION
PARALLEL LINES Def: Lines that do not intersect. Parallel lines are always the same distance apart. Illustration: Notation: l | | m AB | | CD l m A B C DTRANSCRIPT
![Page 1: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/1.jpg)
LINE AND ANGLE RELATIONSHIPS
Quiz Review
![Page 2: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/2.jpg)
TYPES OF ANGLES
• Acute Angles have measures less than 90°.
• Right Angles have measures equal to 90°.
• Obtuse Angles have measures between 90° and 180°.
• Straight Angles have measures equal to 180°
![Page 3: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/3.jpg)
PARALLEL LINES
• Def: Lines that do not intersect. Parallel lines are always the same distance apart.
• Illustration:
• Notation: l || m AB || CD
lm
A
B
C
D
![Page 4: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/4.jpg)
PERPENDICULAR LINES
• Def: Lines that intersect to form a right angle.
• Illustration:
• Notation: m n
• Key Fact: 4 right angles are formed.
m
n
![Page 5: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/5.jpg)
• Def: A line that intersects two lines at different points.
• Illustration:
Transversal
t
![Page 6: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/6.jpg)
Vertical Angles
• Two angles that are opposite angles.
1 2
3 4
5 6
7 8
t1 42 35 86 7
![Page 7: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/7.jpg)
Vertical Angles
• Find the measures of the missing angles
125
?
?
55
t
![Page 8: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/8.jpg)
Vertical Angles
• Find the measures of the missing angles
125
55
t
55
125
![Page 9: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/9.jpg)
Angle Relationships
• Complementary Angles are two angles whose sum is 90°.
• Supplementary Angles are two angles whose sum is 180°.
• Angles do not haveto be Adjacent to be Complementary or Supplementary.
• Adjacent Anglesare two angles that share a common side.
![Page 10: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/10.jpg)
Linear Pair• Two adjacent angles that are also supplementary (sum = 180)
1 2
3 4
5 6
7 8
t
5+6=1806+8=1808+7=1807+5=180
1+2=1802+4=1804+3=1803+1=180
![Page 11: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/11.jpg)
Linear Pair
• Find the measures of the missing angles
? 72
?
t
180 - 72
![Page 12: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/12.jpg)
Linear Pair
• Find the measures of the missing angles
72
t
108 108 180 - 72
![Page 13: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/13.jpg)
Corresponding Angles
• Two angles that occupy corresponding positions.
Top Left
t
Top Left
Top Right
Top Right
Bottom Right
Bottom Right
Bottom Left
Bottom Left
1 52 63 74 8
1 2
3 4
5 6
7 8
![Page 14: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/14.jpg)
Corresponding Angles
• Find the measures of the missing angles
145
?
t
35
![Page 15: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/15.jpg)
Corresponding Angles
• Find the measures of the missing angles
145
t
35
145
![Page 16: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/16.jpg)
Alternate Interior Angles
• Two angles that lie between parallel lines on opposite sides of the transversal
t
3 64 5
1 2
3 4
5 6
7 8
![Page 17: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/17.jpg)
Alternate Interior Angles
• Find the measures of the missing angles
82
?
t
98
![Page 18: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/18.jpg)
Alternate Interior Angles
• Find the measures of the missing angles
82
t
98 82
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Alternate Exterior Angles
• Two angles that lie outside parallel lines on opposite sides of the transversal
t
2 71 8
1 2
3 4
5 6
7 8
![Page 20: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/20.jpg)
Alternate Exterior Angles
• Find the measures of the missing angles
120
?
t
60
![Page 21: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/21.jpg)
Alternate Exterior Angles
• Find the measures of the missing angles
120
t
60 120
![Page 22: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/22.jpg)
Consecutive Interior Angles• Two angles that lie between parallel lines
on the same sides of the transversalt
3 +5 = 1804 +6 = 180
1 2
3 4
5 6
7 8
![Page 23: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/23.jpg)
Consecutive Interior Angles• Find the measures of the missing
angles
?
t
135 180 - 135
![Page 24: LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90. Right Angles have measures equal to 90. Obtuse Angles](https://reader033.vdocuments.mx/reader033/viewer/2022052515/5a4d1b697f8b9ab0599b27d2/html5/thumbnails/24.jpg)
Consecutive Interior Angles• Find the measures of the missing
anglest
135
45
180 - 135