Question

If you have two (${45}^{\circ }-{45}^{\circ }-{90}^{\circ }$) set squares. Which of the following shapes is impossible to produce using them?

• A. Square
• B. Parallelogram
• C. Pentagon
• D. Rectangle

Answer 1

The correct option is D

Rectangle

All squares are rhombus and parallelograms, hence from the figure given below it can be inferred that a rhombus, a square and a parallelogram can be obtained. We can also make a pentagon as shown in the figure. But we can never get a rectangle using $2$ set squares with angles (${45}^{\circ }-{45}^{\circ }-{90}^{\circ }$).