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can you conclude that δ abc is congruent to δ xyz?
select one:
a. yes, they are congruent: angle - side - angle congruence
b. yes, they are congruent: side - side - side congruence
c. yes, they are congruent: side - angle - side congruence
d. it is not possible to conclude they are congruent.

Explanation:

Step1: Identify congruence criteria

We have one side - length equal ($AB = XZ=6.0$ cm) and two pairs of corresponding angles equal ($\angle B=\angle Z = 30^{\circ}$ and $\angle C=\angle Y=60^{\circ}$).

Step2: Match with congruence rule

The ASA (angle - side - angle) congruence rule states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent. Here the side is included between the two given angles in both triangles.

Answer:

A. Yes, they are congruent: angle - side - angle congruence