Draw a quadrilateral such that ,

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Draw a quadrilateral KLMNKLMN such that ∠K=90∘\angle K = 90^\circ, ∠M=90∘\angle M = 90^\circ, and ∠L=∠N\angle L = \angle N. (i) On your sketch, mark every pair of angles that are equal. (ii) Using appropriate angle relationships, first show that the opposite angles of KLMNKLMN are equal. (iii) Deduce that both pairs of opposite sides of KLMNKLMN are parallel and conclude that KLMNKLMN is a parallelogram.

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