Click and drag points C and D until they overlap. This forms triangle ABC. Click and drag points G and H until they overlap. This forms triangle EFG. Notice as you drage the points that the angle measure changes whereas the Side length does not.
1. After you make each shape into a triangle, what do you notice about the side lengths? 2. After you make each shape into a triangle, what do you notice about the angle measures? 3. In general, if all corresponding parts of two figures have the same measure, what can you say about the figures? 4. Write a mathematical statement stating that the two triangles are congruent. 5. What measurements were given (fixed) in the diagram? 6. What measurements were variable (changed) in the diagram? 7. Complete the following sentence: If three sides of one triangle are congruent to three sides of another triangle, then __________ . (what is the relationship between the triangles?)