Chapter 4: Q5. (page 136)

For the following figure, given the two congruent angles $∠ 1 ≅ ∠ 2$ . Name two segments that must be congruent.

Short Answer

Expert verified

The segment that must be congruent is $\bar{K X} ≅ \bar{K Y}$ .

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of an 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 $Δ X K Y$ , $∠ 1 ≅ ∠ 2$ that is the base angles are congruent.

Thus $Δ X K Y$ is an isosceles triangle.

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

Therefore, the congruent sides are $\bar{K X} ≅ \bar{K Y}$ .

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For the following figure, given the two congruent angles $∠ 1 ≅ ∠ 2$ . Name two segments that must be congruent.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of an isosceles triangle.

Step 3. Step description.

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For the following figure, given the two congruent angles∠1≅∠2. Name two segments that must be congruent.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of an isosceles triangle.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

For the following figure, given the two congruent angles $∠ 1 ≅ ∠ 2$ . Name two segments that must be congruent.