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?

Isosceles trapezoid

Short answer

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

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

From the figure,

$\begin{array}{l}\angle EAB={141}^{\circ }\\ \angle HBA={141}^{\circ }\end{array}$

Step 3. Step description.

Observe that the following from the figure.

Length of $KF=1.82$inches

Length of $FJ=1.82$inches

Length of $IJ=1.82$inches

Length of $IK=1.82$inches

Therefore, the parallelogram is a rhombus.