Question

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

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

Step-by-step solution

Step 1. Check the figure.

Consider a non-isosceles trapezoid.

Step 2. Step description.

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

Then consider the parallelogram.

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.