1 6 Exploring Angles Objectives To identify angles
1 -6 Exploring Angles Objectives: To identify angles and classify angles. To use the Angle Addition Postulate to find the measure of angles. To identify and use congruent angles and the bisector of an angle.
Vocabulary • • Ray Angle Opposite Rays Sides Vertex Interior Exterior • Degrees • Measure • Congruent Angles
Definition of Ray • A ray extends indefinitely in one direction. F E D • How to name a ray.
Definition of Opposite Rays • If you choose any point on a line, that point determines exactly two rays called opposite ray. Opposite rays are collinear. I G H
Definitions of Angles, Sides, Vertex • An angle is a figure formed by two noncollinear rays with a common endpoint. The two rays are called the sides of the angle. The common endpoint is called the vertex. A 1 B C
Naming Angles • How many angles are there? Name them all. Q R P S
Example 1 a. What other names could be used to identify ? b. Name the vertex of. c. What are the sides of .
Definition of Interior and Exterior • An angle separates a plane into three distinct parts, the interior of the angle and the exterior of the angle, and the angle itself.
Postulate 1 -4 Angle Addition Postulate
Example 2 What is the measure of angle DAC?
Definition of Right, Acute, and Obtuse Angles
Definition of Congruent Angles Congruent angles are angles that have the same measure.
Homework 1 -6 Worksheet
- Slides: 13