Scale Factor Geometry

Two similar pentagons have side lengths of 9 inches and 15 inches. What is the ratio of their areas?

• 3/5

• 27/125

• 9/25

• 9/15

How many times greater is the perimeter of a parallelogram if its side lengths are increased by a factor of 8?

• 8

• 16

• 64

• 512

The two pyramids shown are similar. If the smaller pyramid has a height of 21 meters, then what is the height of the larger pyramid?

• 11 meters

• 81.49 meters

• 33 meters

• 7 meters

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

• 288 m³

• 112.5 m³

• 450 m³

• 360 m³

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

• 0.25
• 0.5
• 2
• 1/2

What is the scale factor from the small fry to the large fry?

• 1/3

• 48

• 4

• 3

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger