Question

State whether the above quadrilaterals are similar or not:

Answer 1

We know that, two figures are similar if their corresponding angles are congruent and the ratios of their corresponding sides are equal.

From the given two figures,

$\frac{AB}{PQ}=\frac{BC}{QR}=\frac{CD}{RS}=\frac{DA}{SP}=\frac{3}{1.5}=2$

But,
$\angle SPQ$ is not equal to $\angle DAB$
$\angle PQR$ is not equal to $\angle ABC$
$\angle QRS$ is not equal to $\angle BCD$
$\angle RSP$ is not equal to $\angle CDA$

Hence, the given quadrilaterals are not similar.