Similarity Proportions

Find the length of FS.

• 15

• 33

• 21.6

• 39.6

Find the length of NR.

• 72

• 112

• 112.5

• 152.5

Find FA.

• 27

• 48

• 16.33

• 27.33

TGR ~ IGE, which statement must be true?

• TR = IE

• GR = TG

In the diagram below, ∆PQR and ∆STR are similar triangles. Which statement must be true?

• PS = TS

• PS = PR

The triangles are similar. Solve for x.

• 4

• 5

• 6

• 7

What side corresponds with BC?

• FD

• ED

• EC

• CB

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 telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

• 2 ft

• 4 ft

• 6 ft

• 8 ft

Solve for x and y.

• x=11.43, y=42.78

• x=11.43, y=192.5

• x=14, y=48

• x=10, y=11.43