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?
a. no, because the third corresponding sides must also be given as congruent
b. no, because the corresponding congruent angles listed are not the included angles
c. no, because all corresponding angles must be given as congruent

- B. No, because the corresponding congruent angles listed are not the included angles.

Explanation:-

Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.

Now, look at the attachment

We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .

⇒ B is the right option.

SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.