# Trapezoid Midsegment Theorem

- Author:
- mkessler, TAndersen, MFernandes

- Topic:
- Trapezoid

## Discovering the Trapezoid Midsegment Theorem.

Step 1 Compare the trapezoid’s base angles with the corresponding angles at the midsegment. Are the angles congruent? What can you conclude then about the midsegment angles compared to the base angles?
Step 2 Manipulate the trapezoid vertices so that trapezoid is a different size. Are your findings about the corresponding angles true for all trapezoids?
Step 3 Let’s investigate how the length of the midsegment of a trapezoid compares to the lengths of the two bases. What do you notice about the length of the midsegment and the sum of the lengths of the two bases?
Step 4 Manipulate the vertices of the trapezoid so the trapezoid is a different size. Are your findings about the relationship between the length of the midsegment and bases true for all trapezoids? Complete the conjecture.