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  • “If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is the statement true? Why?

“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is the statement true? Why?

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If two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle then only the triangles can be congruent by the SAS criterion of congruence otherwise not.

AC = QR

AB = QP

\angleA = \angleQ

However, the triangles are not congruent.

Therefore the given statement is false.

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infoexpert24

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