Question

In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles? ΔXYZ ≅ ΔTUV ΔXYZ ≅ ΔVUT No congruency statement can be made because only two angles in each triangle are known. No congruency statement can be made because the side lengths are unknown.

Answer 1

D. No congruency statement can be made because the side lengths are unknown.

Answer 2

No congruency statement can be made because the side lengths are unknown.

Explanation:

For two triangles to be considered congruents they have to similar and of the same size.

In this case, we can say both triangles are similar (same shape) since their internal angles are the same (90°, 30° and 60°), but we cannot say if they are congruent (same size in addition to being similar) because we don't know anything about the length of their sides, they could be the same, or not.