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Chapter 5: Q24 (page 193)

Draw a quadrilateral of the type named. Join, in order, the midpoints of the sides. What special kind of quadrilateral do you appear to get?

Non-isosceles trapezoid

Short Answer

Expert verified

The quadrilateral formed by joining mid-point of sides of an isosceles trapezoid is a rhombus.

Step by step solution

01

Step 1. Check the figure.

Consider a non-isosceles trapezoid.

02

Step 2. Step description.

If the midpoints of sides of a non-isosceles trapezoid are joined, they form a parallelogram.

Then consider the parallelogram.

03

Step 3. Step description.

Therefore, the quadrilateral formed by joining the midpoints of sides of a non-isosceles trapezoid is a parallelogram.

Therefore, PQRS is a parallelogram.

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