Question

Shown in the illustration XY ≅ JY , YL ≅ LZ , XK ≅ KZ Complete the statement JL ∥

Answer 1

We need to find the line segment that is parallel to JL.

In order to solve this problem, we need o consider that YL ≅ LZ , XK ≅ KZ. Also, the first statement (XY ≅ JY), according to the picture, should be corrected to:

`XJ\cong JY`

In this situation, we see that line segment JL is parallel to XZ, since triangle YJL is similar to triangle YXZ.

Notice that, for them to be similar, the base angles need to be congruent. And the only way this is possible is for JL || XZ.

Answer:

`\overline{XZ}`