Example 2 - Chapter 8 Class 9 Quadrilaterals

Last updated at August 5, 2026 by

Example 2 - Show that diagonals of rhombus are perpendicular - Examples

part 2 - Example 2 - Examples - Serial order wise - Chapter 8 Class 9 Quadrilaterals

 

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Example 2 Show that the diagonals of a rhombus are perpendicular to each other. Given: Rhombus ABCD To prove : AC BD Proof: Since ABCD is a rhombus AB = BC = CD = DA In AOB and COB, OA = OC OB = OB AB = CB AOB COB AOB = COB Since AC is a line, AOB + COB = 180 AOB + AOB = 180 2 AOB = 180 AOB = 180" " /2 = 90 From (1) COB = AOB COB = 90 Also, DOC = AOB = 90 AOD = COB = 90 Since DOC = AOB = AOD = COB = 90 AC BD The diagonals of a rhombus are perpendicular to each other.

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