Question

What else would need to be congruent to show that ABC= XYZ by ASA?

Given: AB=XY A = X
А. В = Y
B. C = Z
C. AC = XZ
D. BC = YZ

Answer 1

To prove triangle congruence by ASA, we need two angles and the included side to be congruent.

Step-by-step explanation:

To show that triangles ABC and XYZ are congruent by the Angle-Side-Angle (ASA) postulate, we need to know that two angles and the included side in one triangle are congruent to the corresponding two angles and side in the other triangle. Given that AB = XY and angle A = angle X, we need to establish the congruence of another pair of corresponding angles.

The correct additional congruence needed would be angle B = angle Y (answer A), because angle B is the angle included between sides AB and BC, just as angle Y is the angle included between sides XY and YZ. Establishing the congruence of angle C = angle Z (answer B) or the sides AC = XZ (answer C) or BC = YZ (answer D) does not satisfy the conditions of the ASA postulate because these do not involve the side included between the two known congruent angles.