Question

Which similarity statements are true? Check all that apply. △JKL ~ △KML △JKM ~ △JKL △JKM ~ △KML △JMK ~ △JKL △JMK ~ △KML

Answer 1

the answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other, 

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
△JKL ~ △JKM
△JKM ~ △JKM
△JMK ~ △KML

Answer 2

the answeres are 1) JKL~ KML ,4) JMK~JKL,and 5) JMK~KML