Similar Figure and Scale Factor

What is the scale factor from ΔDEF to ΔABC?

• 2

• 3/2

• 2/3

• 1/2

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm

• x = 24 cm

• x = 3 cm

• x = 16.5 cm

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

• 72 in

• 60 in

• 62 in

• 80 in

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Which side length corresponds with EF?

• ML

• LM

• OL

• EH

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

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

What is the scale factor from MNOP to ABCD?

• 2/3

• 1/2

• 3/2

• 2

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