Siven: NMXZ
Prove: AXYZ- ANYM
N
X
N
M
We know that side NM is
βto 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.
