Question

Are the polygons similar if they are right a similarity statement and give the scale factor the figure is not drawn to scale

Answer 1

Answer:

JKLM is similar to PQRS and the scale factor is $\frac{8}{4.8}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Verify

$\frac{8}{4.8}=\frac{2.5}{1.5}$

$1.667=1.667$ -------> is true

therefore

The polygons are similar and the scale factor is equal to $\frac{8}{4.8}$

Answer 2

The polygons are similar polygons, such that JKLM~PQRS, 8:4.8.

What are similar polygons?

Similar polygons are those polygons whose corresponding sides are in ratio.

Are JKLM and PQRS similar polygons?

If we see JKLM and PQRS,  ∠J = ∠P, therefore, for the polygons to be similar we need the ratio of the corresponding sides must be in ratio,

$\rm \dfrac{JK}{PQ} = \dfrac{KM}{QR} = \dfrac{ML}{RS}=\dfrac{LJ}{SP}$

$\rm \dfrac{8}{4.8} = \dfrac{2.5}{1.5} = \dfrac{8}{4.8}=\dfrac{2.5}{1.5} = 1.6667$

Hence, the polygons are similar polygons, such that JKLM~PQRS, 8:4.8.

Learn more about Similar Polygons:

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