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Module 14: Lesson 1 Angles Formed by Intersecting Lines

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1 Module 14: Lesson 1 Angles Formed by Intersecting Lines
An angle is made up of 2 sides that are rays and a vertex. Side: ray Side: ray Ray: Part of a line that has an endpoint and extends forever in one direction. Vertex Vertex: The common endpoint of the sides of an angle.

2 Vertical Angles: The nonadjacent angles formed by intersecting lines.
Congruent: Having the same size and shape 2 3 1 4 All vertical angles are congruent.

3 Supplementary Angles: 2 or more angles whose measures have a sum of 180°
Adjacent Angles: 2 angle with a common vertex and a common side, but no common interior points. 2 3 Linear Pair: 2 angles that form a straight line and share a common vertex. 1 4 All linear pairs are supplementary

4 Statement Reason 2 3 1 Given Definition of a linear pair
All linear pairs are supplementary Definition of supplementary Substitution Subtraction property of equality Definition of congruency 4

5 What is the measure of 121° 3 1 4

6 Complementary Angles: 2 or more angles whose measures have a sum of 90°
B C D E A F G Angles must be described with 3 letters. The 1st letter is a point one of the sides goes through, the 2nd letter is the vertex, and the 3rd letter is a point on the other side. There is an exception. C A B

7 Do Explain problem on page 681.

8 Homework pages 683-687 #1-20 (all)


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