Answered

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Consider ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.

Can it be concluded that ΔWXY ≅ ΔBCD 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\

Sagot :

Answer:

No, it cannot be concluded that ΔWXY ≅ ΔBCD by SAS (Side-Angle-Side) criteria.

The correct reason is: no, because the third corresponding sides must also be given as congruent.

In SAS congruence, it is essential that two corresponding sides and the included angle between these sides are congruent for the triangles to be congruent. In this case, although two sides and an angle are given as congruent, the third corresponding side must also be congruent to satisfy the SAS criterion for triangle congruence.

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