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Chapter 5: Q. 10 (page 200)

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer.

If 鈭�2鈮�鈭�3 thenEC炉鈮�__.

Short Answer

Expert verified

The statement isEC炉鈮�EB炉.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Apply the concept of the isosceles triangle theorem.

The isosceles triangle theorem states that if two sides of a triangle are congruent, then angles opposite those sides are congruent and if angles opposite those sides are congruent, then two sides of a triangle are equal..

03

Step 3- Step description.

Sincethe sides opposite to equal angles are equal and here, angles 2 and 3 are equal thus EC is equal to EB.

Thus, the statement isEC炉鈮�EB炉 and the theorem is isosceles triangle theorem.

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