Assertion (A): Every square is a rhombus. Reason (R): A rhombus is a parallelogram with all four sides equal.

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Rhombus as Special Parallelogram, Square as Special Parallelogram | PadhAiPro

Question

Assertion-ReasonRhombus as Special ParallelogramSquare as Special Parallelogram

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.

TextSquare as Special ParallelogramDiagonals of Parallelogram Bisect Each Other

Show that the diagonals of a rhombus are perpendicular to each other.

Show that the diagonals of a square are equal and bisect each other at right angles.

Diagonal AC of a parallelogram ABCD bisects ∠ A. Show that (i) it bisects ∠ C also, (ii) ABCD is a rhombus.

ABCD is a rectangle in which diagonal AC bisects ∠ A as well as ∠ C. Show that: (i) ABCD is a square (ii) diagonal BD bisects ∠ B as well as ∠ D.