prove that the diagonals of a rectangle are equal
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Step-by-step explanation:
Given:ABCD is rectangle.
AB=CD,AC=BD
angle A=B=C=D=90°
To prove: AC=BD
Proof:In triangle ABC and triangle BCD,
angle ABC=angle BCD... (given)
side BC=side BC.... (common side)
side AB=side CD....(given)
by SAS test of similarity,
triangle ABC congruent triangle BCD
corresponding sides of congruent
triangles,
side AC=side BD
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