Geometry
Ch. 4: Congruent Triangles
Investigate: Congruent Figures
Name: ___________________________________________________
Date: ____________________________________________________
Objective: To determine how much information is needed to tell whether two figures are congruent.
Task 1: Congruent Triangles
Step 1- Use the colored sticks to make a triangle with sides of 2 in, 3 in,
and 4 in. Compare your triangle to the triangle of your partner.
Analyze and Predict:
1. What do you notice about your triangles? _________________________________
2. Can you make two triangles with the same side lengths that are
different shapes? Explain why or why not.
3. Make a conjecture: What can you conclude about two triangles in which three sides of one triangle are
congruent to three sides of another triangle.
Try It Out! What can you say about the triangles below? Why can you make your conclusion.
Task 2: Triangle Inequalities
Step 1- Use craft sticks to make a triangle with sides 2 in, 2 in, and 4 in.
Analyze and Predict:
1. Is it possible to connect the sides of the triangle given 2 in, 2in, and 4 in sticks?
Make a conjecture: Make a conjecture about the relationship between the sum of the first and second side
and how it compares to the third side of a triangle.
Try It Out! Can you make a triangle with the following side lengths?
6 cm, 8 cm, 15 cm