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Chapter 5: Q1 (page 192)

For the following figure, X, Y, Z are the midpoints of the sides of isosceles 螖ABC. Explain why XZBA is a trapezoid.

Short Answer

Expert verified

XZ炉鈭�AB炉

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Step description.

A trapezoid is a type of quadrilateral with one pair of parallel sides.

Consider the triangle 螖ABC.

Here the points X and Z are the mid points ofAB炉 and BC炉.

03

Step 3. Step description.

Now, the side XZ炉is parallel to the third side AB炉such that XZ炉鈭�AB炉.

Therefore,XZBA is a quadrilateral with exactly one pair of sides XZ炉and AB炉parallel.

Thus, XZBAis a trapezoid.

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