Chapter 4: Q6. (page 136)

For the following figure, given the two congruent angles $∠ 3 ≅ ∠ 4$ . Name two segments that must be congruent.

Short Answer

Expert verified

The segment that must be congruent is $\bar{M K} ≅ \bar{N K}$ .

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of isosceles triangle.

Property of isosceles triangle states that in an isosceles triangle, sides opposite to equal opposite angles are also congruent.

Step 3. Step description.

In $Δ K M N$ , $∠ 3 ≅ ∠ 4$ that is the base angles are congruent.

Thus $Δ K M N$ is an isosceles triangle.

Since in an isosceles triangle, sides opposite to these congruent angles will also be congruent thus $\bar{M K} ≅ \bar{N K}$

Therefore, the congruent sides are $\bar{M K} ≅ \bar{N K}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For the following figure, given the two congruent angles $∠ 3 ≅ ∠ 4$ . Name two segments that must be congruent.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of isosceles triangle.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Discrete Mathematics

Probability and Statistics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

For the following figure, given the two congruent angles∠3≅∠4. Name two segments that must be congruent.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of isosceles triangle.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Discrete Mathematics

Probability and Statistics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

For the following figure, given the two congruent angles $∠ 3 ≅ ∠ 4$ . Name two segments that must be congruent.