State which pairs of triangles in the figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form.
(N/A) In $\triangle MNL$ and $\triangle QPR$:
Given $\angle M = \angle Q = 70^{\circ}$.
Also,the ratios of the sides including these angles are:
$\frac{MN}{QP} = \frac{2.5}{5} = \frac{1}{2}$
$\frac{ML}{QR} = \frac{5}{10} = \frac{1}{2}$
Since $\frac{MN}{QP} = \frac{ML}{QR} = \frac{1}{2}$ and $\angle M = \angle Q$,by the $SAS$ (Side-Angle-Side) similarity criterion,the two triangles are similar.
Therefore,$\triangle MNL \sim \triangle QPR$.
Given $\angle M = \angle Q = 70^{\circ}$.
Also,the ratios of the sides including these angles are:
$\frac{MN}{QP} = \frac{2.5}{5} = \frac{1}{2}$
$\frac{ML}{QR} = \frac{5}{10} = \frac{1}{2}$
Since $\frac{MN}{QP} = \frac{ML}{QR} = \frac{1}{2}$ and $\angle M = \angle Q$,by the $SAS$ (Side-Angle-Side) similarity criterion,the two triangles are similar.
Therefore,$\triangle MNL \sim \triangle QPR$.
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