Answered

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Given: NM | XZ
Prove: AXYZ ANYM
N
X
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 YXZ is congruent to YNM. 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.
N
M

Sagot :

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