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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 4: Q6. (page 151)

Draw a diagram for the following:
a. $\bar{X Y}$ bisects $\bar{C D}$ .
b. $\vec{X Y}$ bisects $∠ C X D$ .

Short Answer

Expert verified

a. The diagram is

.

b. The diagram is

.

Step by step solution

01

Part a. Step 1. Draw the diagram.

A line segment bisecting another line segment should divide the line segment in two equal parts.

02

Part a. Step 2. Step description.

The diagram is as follows:

03

Part a. Step 3. Step description.

Here $\bar{X Y}$ divides $\bar{C D}$ in two equal parts.

04

Part b. Step 1. Draw the diagram.

Consider that $\bar{X Y}$ bisects $∠ C X D$ .

05

Part b. Step 2. Step description.

A ray bisecting an angle should divide the angle in two equal parts.

06

Part b. Step 3. Step description.

The diagram is as follows:

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Most popular questions from this chapter

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to $Δ A B C$ . If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Copy and complete the proof.

1. Given: $∠ P ≅ ∠ S; O$ is the midpoint of $\bar{P S}$ . Prove: is the midpoint of $\bar{R Q}$

Proof

Suppose that $Δ F I N ≅ Δ W E B$ name the three pairs of corresponding sides.

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

See all solutions

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