# Trapezoid Midsegment Investigation

Interact with the applet below for a few minutes. Then, answer the questions that follow. Be sure to change the locations of the white points each time before re-sliding the slider!

## 1.

How do you know the quadrilateral initially constructed is a trapezoid? (What postulate or theorem helps justify this?)

## 2.

The thick black segment (with three tick marks) is called a median (or midsegment) of a trapezoid. Define the term median of a trapezoid without looking up its definition on another site.

## 3.

What two facts/properties about the median of a trapezoid does this applet illustrate?

## 4.

Suppose the bases of the trapezoid above measured 14 inches and 26 inches. What would the length of its median be?

## 5.

Suppose a trapezoid has a median with length 35 inches and one base measuring 23 inches. What would the length of its other base be?

## 6.

Now move any point so that one of the trapezoid's bases has length = 0. Then re-slide the slider. What other theorem(s) previously learned does this applet now show?