Question

In the figure below, WU ≅ VT.

The congruency theorem can be used to prove that △WUT ≅ △VTU.
SSS
HL
SAS
AAS

Answer 1

Answer: HL is the right answer

Answer 2

The congruency theorem gives you an opportunity to prove that two triangles are congruent.

Consider triangles WUT and VTU. In these triangles:

• WU≅VT (given);
• ∠T≅∠U, m∠T=m∠U=90° (from the diagram);
• side TU is common.

Note that triangles WUT and VTU are right triangles, because m∠T=m∠U=90°. Side TU is common leg and sides WU and VT are hypotenuses.

HL theorem states: if the hypotenuse (WU) and one leg (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.

Answer: correct choice is B