Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.

Polygon 1: All sides are 3

Polygon 2: All sides are 4.5

Each polygon is the same shape.

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1 answer

Yes, the polygons are similar because they are the same shape.

To write the similarity statement, we can compare the corresponding sides of the polygons.

Polygon 1: All sides are 3
Polygon 2: All sides are 4.5

The scale factor can be found by dividing the length of corresponding sides:
Scale factor = 4.5/3 = 1.5

Therefore, the similarity statement is:
Polygon 1 is similar to Polygon 2 with a scale factor of 1.5.