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Worksheets

Similarity & Proportions

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.
If two polygons are similar, then the corresponding side lengths are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional
2.
If two polygons are similar, then the corresponding angles are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional
3.

ABC ∼ △JKL with altitudes BX and KY. Find BX.

a)

20

b)

31.25

c)

12

d)

18

4.

△ABC ∼ △FGH, AB = 24, AC = 16, CB = 10, and FH = 12. Find the length of FG.

a)

18

b)

20

c)

24

d)

16

5.

A large Hershey's bar is 20 cm long and 8 cm wide. A mini Hershey's bar is 5 cm long. If the bars are similar, what is the perimeter of the mini Hershey's bar?

a)

2

b)

14

c)

7

d)

12.5

6.

A large Ghirardelli’s bar is 30 cm long and 12 cm wide. A smaller Ghirardelli’s bar is 10 cm long. If the bars are similar, what is the perimeter of the smaller Ghirardelli’s bar?

a)

28 cm

b)

4 cm

c)

30 cm

d)

8 cm

7.

Find the length of FS.

a)

15

b)

33

c)

21.6

d)

39.6

8.

Find the length of NR.

a)

72

b)

112

c)

112.5

d)

152.5

9.

Find FA.

a)

27

b)

48

c)

16.33

d)

27.33

10.

TGR ~ IGE, which statement must be true?

a)

RTEI=ERGE\frac{RT}{EI}=\frac{ER}{GE}

b)

TR = IE

c)

GR = TG

d)

RTEI=RGEG\frac{RT}{EI}=\frac{RG}{EG}

11.

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

a)

PQST=QRTR\frac{PQ}{ST}=\frac{QR}{TR}

b)

PS = TS

c)

PQST=PSSR\frac{PQ}{ST}=\frac{PS}{SR}

d)

PS = PR

12.

If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow. Find the height of the tree.

a)

36 ft

b)

33 ft

c)

30 ft

d)

28 ft