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Chapter 5: Q2 (page 192)

For the following figure, X, Y, Z are the midpoints of the sides of isosceles 螖ABC. Name two trapezoids other than XZBA.

Short Answer

Expert verified

The two trapezoids are ACZY,BCXY.

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 Y and Z are the mid points ofAB炉 and BC炉.

03

Step 3. Step description.

Now, the side YZ炉is parallel to the third side AC炉such that YZ炉鈭�AC炉.

So ACZYis a quadrilateral with exactly one pair of sidesYZ炉 and AC炉parallel.

Therefore, ACZYis a trapezoid.

Here the points X and Y are the mid points ofAC炉 and AB炉.

Now, the side XY炉is parallel to the third side BC炉such that XY炉鈭�BC炉.

So BCXYis a quadrilateral with exactly one pair of sides XY炉and BC炉parallel.

Therefore, BCXYis a trapezoid.

Thus, the two trapezoids are ACZYand BCXY.

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