Scale Factor of Polygons

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

• Yes

• No; Not enough information to tell

• No; 5 ⁄ 25 ≠ 6 ⁄ 10

• No; 5 ⁄ 25 ≠ 8 ⁄ 41

If two polygons are SIMILAR, then the corresponding sides must be _____.

• Congruent

• Proportional

• Parallel

• similar

Describe the similarity transformation that maps to (dilations have a center at the origin).

• a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

• a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

• Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

• Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

The two polygons are similar.

Find the value of x

Find the scale factor

Find the ratio of the perimeter.

Value of x: ____, Scale factor: ____, Ratio of perimeter: ____

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The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

• 2 : 5

• 4 : 7

• 2 : 9

• 1: 2

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

• 3 : 10

• 1 : 2

• 7 : 10

• 4 : 5

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

• 7 : 9

• 1 : 6

• 1 : 3

• 1 : 2

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

• 1 : 6

• 5 : 6

• 1 : 2

• 7 : 9

Find the missing length. The triangles in each par are similar.

• 51

• 36

• 49

• 29

Find the missing length. The triangles in each par are similar.

• 46

• 78

• 84

• 93