Question

What else would need to be congruent to show that abc = xyz by sas

Answer 1

Answer:

Option B) $BC \cong YZ$

Option C) $AC \cong XZ$      

Step-by-step explanation:

We are given the following information in the question:

$\triangle ABC\text{ ~and~ }\triangle XYZ$

It is given that:

$\angle B \cong \angle Y$

$AB \cong XY$

We need to prove that the given two triangles are congruent by SAS criterion.

In order to do so we need to show that one more side of the triangle is equal to the side of the other triangle.

Both option B) $BC \cong YZ$ and Option C) $AC \cong XZ$ will help us to prove the congruency of the two triangles by SAS.

Both the options gives us equality of two corresponding sides of the triangle.

Answer 2

The answer would be B. You know B and Y are equal and AB and XY are equal, so you just need the last side included in the angle.