Module 14: Lesson 1 Angles Formed by Intersecting Lines

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Presentation transcript:

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.

Vertical Angles: The nonadjacent angles formed by intersecting lines. Congruent means having the same size and shape…like a clone. 2 3 1 4 All vertical angles are congruent.

Supplementary Angles: 2 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

What is the measure of 121° 3 1 4

Complementary Angles: 2 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

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

Do Explain problem on page 681.

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