Prove that, if one angle of a parallelogram is right angle then that q

1.	Prove that, if one angle of a parallelogram is right angle then that quadrilateral is a rectangle
Answer» ABCD is parallelogram ∴ AB\|\|CD and AD\|\|BC of ∠A = 90° then, ∠D = 180° - 90° = 90° and ∠D = ∠B and ∠A = ∠C (opposite angle of parallelogram are equal and sum of adjacent angle of parallelogram = 180°) ∴ ∠A = ∠B = ∠C = ∠D = 90° It is a rectangle.

Prove that, if one angle of a parallelogram is right angle then that quadrilateral is a rectangle

Answer»

ABCD is parallelogram

∴ AB||CD and AD||BC of ∠A = 90°

then, ∠D = 180° - 90° = 90°

and ∠D = ∠B and ∠A = ∠C

(opposite angle of parallelogram are equal and sum of adjacent angle of parallelogram = 180°)

∴ ∠A = ∠B = ∠C = ∠D = 90°

It is a rectangle.

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Prove that, if one angle of a parallelogram is right angle then that quadrilateral is a rectangle

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