Given: NM // XZ
Prove: AXYZ-ANYM
N
X
N
M
We know that side NM is
to side XZ. If
we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
we can state that
ZYXZ is congruent to ZYNM. We know that angle
XYZ is congruent to angle by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.