Which similarity statements are true? check all that apply.
△jkl ~ △kml
△jkm ~ △jkl
△jkm ~ △kml
△jmk ~ △jkl
△jmk ~ △kml

Two triangles are said to be similar if they have all their angles equal and corresponding sides are in the same ratio.

Given the figure above, it can be seen that △JKL is a right triangle with the right angle at K.
Also, △KML is a right triangle with the right angle at M.
Obviously, angle K = angle M given that they are both right angles.
Also angle L = angle L by the reflexive property.

Therefore, △JKL ~ △KML by the AA similarlity


Similarly, it can be seen that △JMK is a right triangle with the right angle at M.
Also, △JKL is a right triangle with the right angle at K.
Obviously, angle M = angle K given that they are both right angles.
Also angle J = angle J by the reflexive property.

Therefore, △JMK ~ △JKL by the AA similarlity

Therefore, the similarlity statements that are true are △JKL ~ △KML and △JMK ~ △JKL

11/2.2 = 5 inches for the length 8.5/2.2= 3.86 inches for the width