Question

State whether the shown triangles in the above diagram are similar.Write the similarity criterion used to show the similarity in symbolic form.

Answer 1

In $\Delta MNL$ and $\Delta QPR$

$\angle M=\angle Q={70}^o$

Also,

$\frac{MN}{QP}=\frac{2.5}{5}=\frac{1}{2}$

$\frac{ML}{QR}=\frac{5}{10}=\frac{1}{2}$

So, $\frac{MN}{PQ}=\frac{ML}{QR}=\frac{1}{2}$

Hence, by SAS congruence rule for two triangles

$\Delta MNL\sim \Delta QPR$.