# Proof Construction 1: Congruent Triangles

- Author:
- David Coley

- Topic:
- Congruence, Triangles

- Construct the diagram as shown. When you drag the figure, the givens should remain true.
- Test whether the conclusion is true. Here, we are testing whether two triangles are congruent. We know several congruence tests. Decide which one to use, and make the appropriate measurements.
- If the conclusion appears to be true, write a two-column proof on a separate sheet.
- If the conclusion is false, modify the problem slightly. (Recall the example on the handout.) Write a two-column proof of your modified statement.