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7 practice problems 2 triangle r is a right triangle. can we use two co…

Question

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? yes
if so, explain how or sketch a solution. if not, explain why not.

Explanation:

Step1: Recall properties of right - triangle and parallelogram

A right - triangle has one 90 - degree angle. A parallelogram has opposite sides parallel and equal.

Step2: Consider non - square parallelogram formation

If the right - triangle is not an isosceles right - triangle, when we place two copies of it with their hypotenuses touching each other, we can form a non - square parallelogram.

Answer:

Yes. Place two non - isosceles right - triangles with their hypotenuses touching each other. The resulting figure has opposite sides parallel and equal, and it is not a square since the adjacent sides are not equal (in non - isosceles right - triangle case).