Using opposito angle test for parallelogram
prove that every rectangle is a parallelogram.
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Answer:
Given: ABCD is a rectangle.
To prove: Rectangle ABCD is a parallelogram.
Proof:
ABCD is a rectangle.
∴ ∠A ≅ ∠C = 90° [Given]
∠B ≅ ∠D = 90° [Angles of a rectangle]
∴ Rectangle ABCD is a parallelogram. [A quadrilateral is a parallelogram, if pairs of its opposite angles are congruent]
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