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5 votes
5 votes
Siven: NMXZ

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.

Siven: NMXZ Prove: AXYZ- ANYM N X N M We know that side NM is ✓to side XZ If we consider-example-1
User Himanshu Dwivedi
by
3.5k points

1 Answer

10 votes
10 votes

We know that side NM is parallel to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the corresponding angles theorem, we can state that
\angle YXZ is congruent to
\angle YNM. We know that angle XYZ is congruent to angle XYZ by the reflexive property. Therefore, triangle XYZ is similar to triangle to triangle NYM by the angle-angle similarity theorem.

User Yhluo
by
3.0k points