Q2) using opposite angle test for parallelogram prove that every rectangle is a parallelogram?
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Answer :
Let ABCD be a rectangle.
∠A = ∠B = ∠C = ∠D = 90°
For any quadrilateral to be a parallelogram, pair of opposite angles should be congruent.
In rectangle ABCD,
∠A = ∠C = 90°
∠B = ∠D = 90°
Thus, rectangle ABCD is a parallelogram.
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