Scale Factors Within Similar Shapes and Proportions

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

• 0.25
• 0.5
• 2
• 1/2

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

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

The shapes are similar. What is the scale factor? Simplify your answer.

• 4:1

• 1:5

• 5:1

• 5:4

Shannon is making three different sizes of blankets from the same material. The first measures 2.5 feet by 2 feet. She wants to enlarge it by a scale factor of 2 to make the second blanket. Then she will enlarge the second one by a scale factor of 1.5 to make the third blanket. What are the dimensions of the third blanket?

• 2.5 feet by 2 feet

• 7.5 feet by 6 feet

• 7.5 by 6

• 5 feet by 4 feet

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in

• 9 in

• 12 in

• 14 in