Similarity Ratio and Proportions

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3:4. What is the length of the rectangle?

• 20

• 40

• 60

• 80

Tags

CCSS.3.MD.D.8

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

• x = 12

• x = 3

• x = 40

• x = 4

Tags

CCSS.HSG.SRT.A.2

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

• x = 20

• x = 12

• x = 5

• x = 4

Tags

CCSS.HSG.SRT.A.2

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

Tags

CCSS.HSG.SRT.B.5

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

• x = 1

• x = 3

• x = 9

• x = 5

Tags

CCSS.HSG.SRT.A.2

If two polygons are similar, then the corresponding side lengths are ___________.

• congruent

• similar

• equal

• proportional

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in

• 2 in.

• 4 in

• 1 in

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

Tags

CCSS.7.RP.A.2B