At which angle do diagonals of a rhombus bisects each other?(a) 180°(b) 360°(c) 270°(d) 90°This question was addressed to me in homework.Question is from Types of Quadrilaterals in chapter Quadrilaterals of Mathematics – Class 9

At which angle do diagonals of a rhombus bisects each other?(a) 180°(

1.	At which angle do diagonals of a rhombus bisects each other?(a) 180°(b) 360°(c) 270°(d) 90°This question was addressed to me in homework.Question is from Types of Quadrilaterals in chapter Quadrilaterals of Mathematics – Class 9
Answer» Right option is (d) 90° The best explanation: A rhombus is SHOWN in the diagram below. For ∆AOB and ∆AOD, AB = AD (sides of the same rhombus) OB = OD (diagonals of a parallelogram bisect each other) OA = OA (same side) Hence, ACCORDING to SSS rule, ∆AOB and ∆AOD are CONGRUENT to each other. Therefore, ∠AOB = ∠AOD ∠AOB + ∠AOD = 180° (linear PAIR of ANGLES) 2∠AOD = 180° Therefore, ∠AOD = 90°

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