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Chapter 4: Q7. (page 136)

For the following figure, given the two congruent angles鈭�5鈮�鈭�6. Name two segments that must be congruent.

Short Answer

Expert verified

The segment that must be congruent isKG炉鈮�KH炉.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

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.

03

Step 3. Step description.

In 螖KGH, 鈭�5鈮�鈭�6that is the base angles are congruent.

Thus螖KGH is an isosceles triangle.

Since in an isosceles triangle, sides opposite to these congruent angles will also be congruent thus KG炉鈮�KH炉.

Therefore, the congruent sides are KG炉鈮�KH炉.

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