Question

g all the congruent
ment.
3.
x 2.5 y
60°
4.3
30° 5
z
c 30° 60°
5 b

Explanation:

Step1: Identify corresponding angles and sides

In \(\triangle XYZ\) and \(\triangle BAC\), \(\angle X=\angle A = 90^{\circ}\), \(\angle Y=\angle B=60^{\circ}\), \(\angle Z=\angle C = 30^{\circ}\). Also, \(XY = BA=2.5\), \(YZ=BC = 5\), \(XZ=AC=4.3\).

Step2: Use ASA (Angle - Side - Angle) or AAS (Angle - Angle - Side) congruence criterion

Since all corresponding angles and sides are equal. By AAS (two angles and a non - included side) or ASA (if we consider the right - angle as part of the congruence conditions, for example, \(\angle X=\angle A\), \(\angle Z=\angle C\), \(XZ = AC\)) the two triangles are congruent.

Answer:

\(\triangle XYZ\cong\triangle BAC\)