Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small - Mathematics

Question

Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

Sum

Solution

In the given figure AC and BD bisect each other at O.

∴ OA = OC ...(Given), OB = OD ...(Given)

∠AOB = ∠COD ...(vertically opposite angles)

By SAS congruency

ΔAOB ≅ ΔOCD

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Criteria for Congruence of Triangles - SAS Congruence Criterion

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Samacheer Kalvi Mathematics [English] Class 9 TN Board

Chapter 4 Geometry
Exercise 4.1 | Q 3. (v) | Page 144

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