Mathematics

Problem

A student measures the following lengths in

\triangle XYZ

XM = 2.5\,\text{cm}

MY = 3.5\,\text{cm}

XN = 4\,\text{cm}

and

NZ = 6\,\text{cm}

, where

M

is on

XY

and

N

is on

XZ

. The student concludes that

MN

is parallel to

YZ

. Check the validity of this conclusion. Identify which pair of ratios does not match and state the correct verdict.