A student writes: “In and ,

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

A student writes: “In △STU\triangle STU and △XYZ\triangle XYZ, ST=XYST = XY, TU=YZTU = YZ and ∠S=∠X\angle S = \angle X. Hence, the triangles are congruent by SAS.” (a) Identify the mistake in the student’s reasoning. (b) If instead the included angle between the equal sides were known to be equal, state the congruence criterion that would then apply.

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