Solve the following:
Using the opposite angles test for parallelogram, prove that every square is a parallelogram.
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Step-by-step explanation:
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Let ABCD be a rectangle.
∠A = ∠B = ∠C = ∠D = 90°.
For any quadrilateral to be a parallelogram, pair of opposite angles should be congruent.
For any quadrilateral to be a parallelogram, pair of opposite angles should be congruent. In rectangle ABCD
∠A = ∠C = 90°
∠A = ∠C = 90°∠B = ∠D = 90°
∠A = ∠C = 90°∠B = ∠D = 90°Thus , rectangle ABCD is a parallelogram.
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