Question

triangles and parallelograms
make your own
let’s 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 Formation

A parallelogram can be formed by two congruent triangles. For a given triangle, we can pair it with its copy in three different ways (by translating the copy to align with each pair of corresponding sides as the diagonal of the parallelogram).

Step2: Analyze the Triangle

The given triangle is a scalene (or any) triangle. When we take two copies, we can align the equal - length sides to form a parallelogram. The three possible ways correspond to using each side of the triangle as the side of the parallelogram (by combining the two triangles along each of the three sides).

Answer:

3