If you have two ( 45 ∘ - 45 ∘ - 90 ∘ ) set squares. Which of the following shapes is impossible to produce using them? Options: A . &nbsp Square B . &nbsp Parallelogram C . &nbsp Pentagon D . &nbsp Trapezium

If you have two (45∘-45∘-90∘) set squares. Which of the following shapes i

Question

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

Options:

A . Square

B . Parallelogram

C . Pentagon

D . Trapezium

Answer: Option D
:
D

We know that all squares are rhombuses and parallelograms. We can also make a pentagon as shown in the figure. But we can never get a trapezium using $2$ set squares with angles ( $45^{\circ}$ - $45^{\circ}$ - $90^{\circ}$ ).

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