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? if so, explain how or sketch a solution. if not, explain why not. 3 two copies of this triangle are used to compose a parallelogram. which parallelogram cannot be a result of the composition? if you get stuck, consider using tracing paper.

Explanation:

Step1: Recall parallelogram - triangle relationship

Two congruent triangles can form a parallelogram. For a non - square right - triangle, we can place the two right - triangles such that the hypotenuses are adjacent to each other. This forms a non - square parallelogram (a rectangle if the right - triangle is not isosceles, or a rhombus if it is isosceles but not a right - angled isosceles triangle).

Step2: Analyze composition of parallelograms from two triangles

When two congruent triangles are combined to form a parallelogram, the sides of the triangles that are joined together become the diagonals of the parallelogram. The other sides of the triangles form the sides of the parallelogram.

Answer:

For question 2: Yes. Place the two right - triangles such that their hypotenuses are adjacent to each other.
For question 3: Without seeing the specific shapes of A, B, C, and D, we can say that if a parallelogram has side lengths or angles that cannot be formed by the sides and angles of the given triangle, it cannot be a result of the composition. For example, if the parallelogram has side - length ratios that are not consistent with the side - length ratios of the two congruent triangles, it is not a valid composition.