SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.

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Presentation transcript:

SPECIAL PAIRS OF ANGLES

Congruent Angles: Two angles that have equal measures.

Congruent Angles A B

Angle Bisector: a ray that divides an angle into 2 congruent angles.

Angle Bisector B C

Suppose bisects and andFind: B C A D

Suppose bisects and andFind: B C A D

Adjacent Angles: two coplanar angles that share a common vertex and side, but have no interior points in common.

Adjacent Angles

Nonadjacent Angles

Linear Pair: A pair of adjacent angles whose non-common sides are opposite rays.

Linear Pair

How many Linear pairs can you name?

Vertical Angles: Two non-adjacent angles formed when 2 lines intersect

Vertical Angles

Also Vertical Angles

The Angle Addition Postulate: If C is a point in the interior of then:

B C A D For adjacent angles

B C A D

B C A D

Supplementary Angles: Two angles whose measures total 180

Supplementary Angles A B

Suppose two angles are supplementary. If one angle is 30 degrees, what is the measure of its supplement?

Suppose two angles are congruent and supplementary. What are their measures?

Suppose two angles are supplementary. If one angle is x degrees, what is the measure of its supplement?

Complementary Angles: Two angles whose measures total 90

Complementary Angles A B

Suppose two angles are complementary. If one angle is 30 degrees, what is the measure of its complement?

Suppose two angles are congruent and complementary. What are their measures?

Suppose two angles are complementary. If one angle is x degrees, what is the measure of its complement?

Perpendicular Lines: Two lines that intersect to form right angles.

Perpendicular lines form 4 right angles:

Perpendicular Lines:

Perpendicular lines form 4 right angles:

But you only need 1 right angle to know they are Perpendicular Lines:

Let’s see what you recall…

Linear Pair

Adjacent Angles

Vertical Angles

Angle Bisector B C

B C A D

Congruent Angles A B

Supplementary Angles A B

Now Go Practice! The End