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make your own lets see if we can always combine two copies of a triangl…

Question

make your own lets see if we can always combine two copies of a triangle to form a parallelogram. a. create a triangle. then press \copy.\ b. discuss: how many different parallelograms can you create?

Explanation:

Step1: Recall parallelogram - triangle relationship

A parallelogram can be divided into two congruent triangles. When combining two congruent triangles to form a parallelogram, we consider the sides of the triangle.

Step2: Analyze side - pairing

For any non - degenerate triangle, we can pair its three sides in different ways. By aligning two congruent sides of the two triangles together, we can form a parallelogram. Since a triangle has 3 sides, we can create 3 different parallelograms.

Answer:

3