1.5 N OTES Types of angle pairs. W ARM - UP 1. Find the value of each variable. 2. Plot the points in a coordinate plane and draw <ABC. Classify the angle.

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Presentation transcript:

1.5 N OTES Types of angle pairs

W ARM - UP 1. Find the value of each variable. 2. Plot the points in a coordinate plane and draw <ABC. Classify the angle. Then give the coordinates of a point that lies in the interior of the angle.

I DENTIFYING A NGLE P AIRS Vertical Angles – two angles whose sides are opposite rays Draw: Adjacent Angles – coplanar angles w/common side, vertex, and no common interior points. Draw: Complementary Angles – two angles whose measures have sum 90. Draw: Supplementary Angles – two angles whose measures have sum 180. Draw:

W ORKING WITH ANGLES Draw a pair of nonadjacent complementary angles. Draw a pair of adjacent complementary angles. Draw a pair of nonadjacent supplementary angles. Draw a pair of adjacent supplementary angles.

A SPECIAL PAIR OF SUPPLEMENTARY ANGLES An adjacent pair of angles whose noncommon sides are opposite rays. (This is the formal definition). Think of a straight angle divided into two angles by a ray. Linear Pair Postulate: If two angles form a linear pair, then they are supplementary.

I DENTIFYING A NGLE P AIRS 1) Complementary 2) Supplementary 3) Vertical 4) Adjacent

1.5 H OMEWORK MathXL due THURSDAY at midnight