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

Given NM XZ We Know That Side NM Is V To Side XZ If Prove AXYZ ANYM We Consider Side NY The Transversal For These Parallel Lines We Create Angle Pairs Using The class=

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A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:

i. Side NM is parallel to side XZ.

ii. Using the corresponding property

iii. <XYZ is congruent to <NYM

iv. ΔXYZ is similar toΔNYM by SAS theorem

Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.

While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.

The required answers to the question are as stated below:

i. Side NM is parallel to side XZ.

ii. The corresponding property

iii. <XYZ is congruent to <NYM

iv. ΔXYZ is similar toΔNYM by SAS theorem

For more clarifications on congruent angles of plane shapes, visit: https://brainly.com/question/3717644

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