Answer:
C. <B ≅ <Y
Step-by-step explanation:
Two triangles are congruent by the Side-Angle-Side Criterion when two sides and an included angle in a triangle is congruent to two corresponding sides and an included angle in the other triangle.
In the diagram given, we are given the following:
Two sides, AB and BC, in ∆ABC are congruent to two corresponding sides, XY and YZ, in ∆XYZ.
The addition condition that we need to satisfy the SAS Criterion is an included angle in ∆ABC that is congruence to a corresponding included angle in ∆XYZ.
The included angle in ∆ABC is <B
The included angle in ∆XYZ is <Y
Therefore, <B ≅ <Y
What is needed is:
<B ≅ <Y
