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Published byDella Flynn Modified over 4 years ago

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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 B C

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Suppose bisects and andFind: B C A D

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Suppose bisects and andFind: B C A 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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B C A D For adjacent angles

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B C A D

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B C A D

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Supplementary Angles: Two angles whose measures total 180

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Supplementary Angles A B

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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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Let’s 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 B C

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B C A D

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Congruent Angles A B

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Supplementary Angles A B

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Now Go Practice! The End

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