Question

Choose the numbers of the correct steps and reasons that follow the given information in a proof.

Answer 1

Steps: 2, 3, 5, 6

Step-by-step explanation

KL = KL because that side is shared by both triangles. This is called reflexive property of congruence. So the first step after the given information is step 2.

Then we have that KL bisects angle PKQ, so by angle bisector definition angles PKL and LKQ are congruent. The next step is step 3.

Now we have two congruent sides and one congruent angle between triangles PKL and QKL. Hence those two triangles are congruent by SAS. The next step is step 5.

Finally, because the triangles are congruent, corresponding angles are congruent. Hence the last step is step 6.

Therefore the answer is the first option Steps: 2, 3, 5, 6.