Question

justice garcia
7 practice problems
2 triangle r is a right triangle. can we use two copies of triangle r to compose a parallelogram that is not a square?
if so, explain how or sketch a solution. if not, explain why not.

Explanation:

Step1: Recall properties of shapes

A parallelogram has opposite sides parallel and equal. A square is a special parallelogram with all sides equal and all angles 90 degrees.

Step2: Analyze right - triangle composition

If the right - triangle is not an isosceles right - triangle, when we put two copies of it together by aligning the hypotenuses, we get a parallelogram. The adjacent sides of the parallelogram formed are the two non - hypotenuse sides of the right - triangle. Since they are not equal (in non - isosceles right - triangle), it is not a square.

Answer:

Yes. Place the two right - triangles such that their hypotenuses are adjacent to each other. If the right - triangle is not isosceles, the resulting parallelogram will not be a square.