Q Prove that every diagonal of a rhombus bisects the angles at vertices - Maths - Rectilinear Figures

Question

Q Prove that every diagonal of a rhombus bisects the angles at
vertices

Global Expert · Accepted Answer

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In ∆AED and ∆DEC: AE=EC  (diagonals bisect each other)AD=DC (sides are equal)DE=DE (common)By SSS congruence: ∆AED≅ ∆CED∠ADE=∠CDE (c
p c
t)Similarly, we can prove ∆AEB and ∆BEC, ∆BEC and ∆DEC, ∆AED and ∆AEB are congruent to each other
Hence, diagonal of a rhombus bisects the angle through which it passes

Q. Prove that every diagonal of a rhombus bisects the angles at vertices.