Question

Determine if polygon PQRS is similar to polygon JKLM.If the polygons are similar, identify the similarity ratio.

Answer 1

Taking into account the corresponding angles, the corresponding sides are:

• QR and LK

,

• QP and KJ

,

• PS and MJ

,

• RS and LM

The similarity ratio is found by dividing two corresponding sides. In this case:

`\begin{gathered} (LK)/(QR)=(6)/(6)=1 \\ (KJ)/(QP)=(7)/(3.5)=2 \\ (MJ)/(PS)=(15)/(9)=(5)/(3) \\ (LM)/(RS)=(8)/(4)=2 \end{gathered}`

Given that the ratios are not the same for all cases, then the polygons are not similar. The corresponding sides are not proportional