Lesson 4: Exploring Angle Pairs

Unit 1 Lesson 4: Exploring Angle Pairs

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Lesson Overview

Angles and Angle Relationships

What You Will Learn

How to identify and describe angle pairs

Overview

In this lesson, you will learn how to describe different angle pairs. You will demonstrate your understanding by identifying and defining the angle pair relationships.

Essential Understanding

Particular angle pairs can help you identify geometric relationships. You can use these angle pairs to find angle measures.

This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.

Additional Resources

Lesson 4: Exploring Angle Pairs

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Additional Resources (Exploring Angle Pairs)

Prepare for Application

Instructions

Practice for Application

You have now studied Exploring Angle Pairs. It is now time to demonstrate your learning.

Try the activities below on your own. You should be able to answer these before beginning the practice.

Do these activities in your journal.

Activity 1

Use the diagram below to determine if statements 1-4 are factual. Explain.

Activity 1

$∠ A F E$ and $∠ C F E$ are vertical angles.
$∠ B F C$ and $∠ D F E$ are supplementary.
$∠ B F D$ and $∠ A F B$ are adjacent angles.

Activity 2

Use the diagram below for questions 1-4. Can you make each conclusion from the diagram? Explain.

Activity 2

$\bar{T W} ≅ \bar{W V}$
$\bar{P W} ≅ \bar{W Q}$
$∠ T W Q$ is a right angle.
$\bar{T V}$ bisects $\bar{P Q}$ .

Activity 3

1. Look in the example for Problem 3 on page 36. How can you check these results?

2. $∠ A D B$ and $∠ B D C$ are a linear pair. and $m ∠ B D C = 5 x - 2$ . What are $m ∠ A D B$ and $m ∠ B D C$ ?

a. What do you know?

b. What do you need?

c. What is your plan?

d. What is your solution?

Activity 4

$\vec{K M}$ bisects $∠ J K L$ . If $m ∠ J K L = 72$ , what is $m ∠ J K M$ ?