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

Determine If Polygon PQRS Is Similar To Polygon JKLMIf The Polygons Are Similar Identify The Similarity Ratio class=

Sagot :

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:

[tex]\begin{gathered} \frac{LK}{QR}=\frac{6}{6}=1 \\ \frac{KJ}{QP}=\frac{7}{3.5}=2 \\ \frac{MJ}{PS}=\frac{15}{9}=\frac{5}{3} \\ \frac{LM}{RS}=\frac{8}{4}=2 \end{gathered}[/tex]

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

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