Geometry Exploring Angle Pairs.

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Presentation transcript:

Geometry Exploring Angle Pairs

Learning Targets Success Criteria I understand different angle pairs I understand how to solve linear pair and angle bisector problems Success Criteria I can use angle pairs to talk about diagrams regarding angles. I can solve problems regarding linear pairs and angle bisectors 1 mins

Angle Pairs Adjacent Angles Vertical Angles Complementary angles Two coplanar angles with a common side, a common vertex, and no common interior points. Vertical Angles Two angles whose sides are opposite rays Complementary angles Two angles whose measures have a sum of 90. Each angle is called the complement of the other. Supplementary Angles Two angles whose measure have a sum of 180. Each angle is called the supplement of the other.

Finding information from a diagram You can conclude from an unmarked diagram Angles are adjacent Angles are adjacent and supplement Angles are vertical angles You cannot conclude from an unmarked diagram Angles or segments are congruent An angle is a right angle Angles are complementary

Linear Pair Postulate Linear pair A pair of adjacent angles whose noncomon sides are opposite rays. Linear Pair Postulate If two angles form a linear pair, then they are supplementary

Angle Bisector A ray that divides an angle into wo congruent angles. Its endpoint is at the angle vertex.

Learning Targets Success Criteria I understand different angle pairs I understand how to solve linear pair and angle bisector problems Success Criteria I can use angle pairs to talk about diagrams regarding angles. I can solve problems regarding linear pairs and angle bisectors 1 mins

Assignment Pg 38 – 39 # 7 – 29 odd, 34, 35, 39