Question

consider △wxy and △bcd with ∠x≅∠c, wx¯≅bc¯, and wy¯≅bd¯. can it be concluded that △wxy≅△bcd by sas? why or why not? no, because all corresponding angles must be given as congruent no, because the third corresponding sides must also be given as congruent no, because the corresponding congruent angles listed are not the included angles yes, because two corresponding sides and a corresponding angle are congruent

Explanation:

Step1: Recall SAS criterion

SAS requires two sides and included angle congruent.

Step2: Identify triangle parts

△WXY: WX≅BC, WY≅BD, ∠X≅∠C.

Step3: Check included angle

Included angle for WX/WY is ∠W (not ∠X); for BC/BD is ∠B (not ∠C).

Step4: Conclusion on SAS

∠X, ∠C not included angles; SAS fails.

Answer:

No, because the given congruent angle is not the included angle between the two congruent sides, so SAS congruence cannot be concluded.