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?

Carefully draw an isosceles trapezoid and measure its diagonal. What do you discover? Write proof of your discovery.

Short answer

The diagonals of the isosceles trapezoid are same.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

After measurement, it is found that the diagonals of the isosceles trapezoid are the same such that $PR=QS$.

Therefore, the diagonals divide each other into segments of the same length.

Step 3. Step description.

Since the diagonals divide each other into segments of the same lengths that is$PO=SO,QO=RO$

Therefore, the diagonals of the isosceles trapezoid are same.