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determining if triangles are congruent consider \\( \\triangle wxy \\) …

Question

determining if triangles are congruent
consider \\( \triangle wxy \\) and \\( \triangle bcd \\) with \\( \angle x \cong \angle c, \overline{wx} \cong \overline{bc} \\), and \\( \overline{wy} \cong \overline{bd} \\).
can it be concluded that \\( \triangle wxy \cong \triangle bcd \\) by sas? why or why not?
no, because the third corresponding sides must also be given as congruent
no, because the corresponding congruent angles listed are not the included angles
no, because all corresponding angles must be given as congruent
yes, because two corresponding sides and a corresponding angle are congruent

Explanation:

Brief Explanations

The SAS (Side - Angle - Side) congruence criterion requires that the angle be the included angle between the two sides. In \(\triangle WXY\) and \(\triangle BCD\), \(\overline{WX}\cong\overline{BC}\) and \(\overline{WY}\cong\overline{BD}\), but \(\angle X\) is not the included angle between \(\overline{WX}\) and \(\overline{WY}\) in \(\triangle WXY\), and \(\angle C\) is not the included angle between \(\overline{BC}\) and \(\overline{BD}\) in \(\triangle BCD\).

Answer:

no, because the corresponding congruent angles listed are not the included angles