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Question
In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:
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Solution
In ∆ACE and ∆BDE,
∠ACE = ∠BDE ...(AC || BD, alternate interior angles)
CE = DE ...(Given)
∠AEC = ∠BED ...(Vertically opposite angles)
∴ ∆ACE ≅ ∆BDE ...(ASA criterion)
∴ Triangles are congruent but not by RHS congruence criterion
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