Question

Which of the following theorems verifies that kml=opq?

Answer 1

Consider two right triangles ΔKML and ΔOPQ. From the diagram you can see that:

• KL≅OQ (hypotenuses);
• ∠MLK≅∠OQP (adjacent angles to the hypotenuses).

Then you can use HA theorem that states:  "If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent."

Answer: correct choice is B.