SPECIAL PAIRS OF ANGLES

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SPECIAL PAIRS OF ANGLES
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Congruent Angles Two angles that have equal
measures.
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Congruent Angles
A
B
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Angle Bisector a ray that divides an angle into
2 congruent angles.
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Angle Bisector
C
B
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Suppose bisects and Find
A
C
B
D
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Suppose bisects and Find
A
C
B
D
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Adjacent Angles two coplanar angles that share a
common vertex and side, but have no interior
points in common.
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Adjacent Angles
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Nonadjacent Angles
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Linear Pair A pair of adjacent angles whose
non-common sides are opposite rays.
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Linear Pair
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How many Linear pairs can you name?
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Vertical Angles Two non-adjacent angles formed
when 2 lines intersect
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Vertical Angles
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Also Vertical Angles
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The Angle Addition Postulate If C is a point in
the interior of then
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For adjacent angles
A
C
B
D
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D
B
A
C
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C
D
B
A
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Supplementary Angles Two angles whose measures
total 180
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Supplementary Angles
B
A
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Suppose two angles are supplementary. If one
angle is 30 degrees, what is the measure of its
supplement?
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Suppose two angles are congruent and
supplementary. What are their measures?
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Suppose two angles are supplementary. If one
angle is x degrees, what is the measure of its
supplement?
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Complementary Angles Two angles whose measures
total 90
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Complementary Angles
A
B
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Suppose two angles are complementary. If one
angle is 30 degrees, what is the measure of its
complement?
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Suppose two angles are congruent and
complementary. What are their measures?
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Suppose two angles are complementary. If one
angle is x degrees, what is the measure of its
complement?
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Perpendicular Lines Two lines that intersect to
form right angles.
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Perpendicular lines form 4 right angles
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Perpendicular Lines
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Perpendicular lines form 4 right angles
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But you only need 1 right angle to know they are
Perpendicular Lines
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Lets see what you recall
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Linear Pair
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Adjacent Angles
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Vertical Angles
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Angle Bisector
C
B
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C
A
B
D
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Congruent Angles
A
B
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Supplementary Angles
B
A
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Now Go Practice! The End