Mathematics

Problem

A student writes: “In

\triangle STU

and

\triangle XYZ

ST = XY

TU = YZ

and

\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. 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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