Question

If triangle LMN is similar to triangle XYZ, which of the following is not necessarily true?

angle L is congruent to angle X

angle M is congruent to angle Y

length of side M N over length of side N L equals length of side Y Z over length of side Z X

length of side L M over length of side M N equals length of side X Y over length of side X Z.

Answer 1

what do you know @JAXXDP and i will help

Answer 2

Given: \[\triangle LMN \sim \triangle XYZ\]
\[\huge \rightarrow \angle L \cong \angle X\]
\[\huge \rightarrow \angle M \cong \angle Y\]
\[\huge \rightarrow \angle N \cong \angle Z\]
and
\[\frac{ M N}{YZ}=\frac{NL}{Z X} \](coresponding sides of similar triangles)

i.e. \[\frac{ M N}{N L}=\frac{Y Z}{Z X}\] (by alternendo)
All the above are true

but since MN and XZ are not corresponding sides hence the last statement
"length of side L M over length of side M N equals length of side X Y over length of side X Z." is not true.