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Quadrilaterals — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsQuadrilaterals2 Marks
Question
Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.

Image
Given:
□ABCD is a rectangle.
To prove: Rectangle ABCD is a parallelogram.

✓

Answer

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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