Question 1 of 10 What else would need to be congruent to show that ABC= AXYZ by SAS?
B
Glen:
AD = XY
BC=YZ
с
Z
O A ECZYZ
B. ZCE Z
C. BELY
O D. AC 22
SUBMIT

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