Question

I need an explanation what is going on here. Where are they getting M from?

Answer 1

Explanation:

M is the point where KM meets the line JL.

So, we have 2 right angled triangles formed which are congruent by SAS.

Answer 2

The correct way to prove that the triangle KJL is by drawing the line KM, where M is a point on the line JL and bisector to the angle K.

It is given that sides KJ=KL.

The side KM is common to triangle KLM and triangle KJM .

Thus, the triangle is an isosceles triangle by SAS. since the side KJ= KL and KM is a common side and the angle K is bisected by the line KM.

Thus, the correct option is option 4. The triable is isosceles by SAS.