Free Printable Similar Figures - Creating Proportions

1.

Use the similar figures shown to identify which side corresponds to side $\overline{EF}$ .

a)

$\overline{AB}$

b)

$\overline{BC}$

c)

$\overline{CA}$

d)

$\overline{DF}$

2.

Use the similar figures image shown to identify which angle corresponds to $<D$ .

a)

$<E$

b)

$<F$

c)

$<G$

d)

$<H$

3.

Quad $TQRS\sim BCDE$ . Which would be a set of corresponding sides?

a)

$\overline{TQ}$ and $\overline{BE}$

b)

$\overline{TS}$ and $\overline{CD}$

c)

$\overline{RS}$ and $\overline{BC}$

d)

$\overline{QR}$ and $\overline{CD}$

4.

$\Delta PQR\sim\Delta DEF$ . Which describes the relationship between the corresponding sides of the two triangles?

a)

$\frac{PQ}{DE}=\frac{4}{6}$

b)

$\frac{PQ}{DE}=\frac{6}{4}$

c)

$\frac{PQ}{EF}=\frac{4}{9}$

d)

$\frac{PR}{DE}=\frac{6}{6}$

5.

$\Delta PQR\sim\Delta STU$ . Which proportion can be used to solve for n?

a)

$\frac{5}{15}=\frac{n}{12}$

b)

$\frac{15}{5}=\frac{n}{12}$

c)

$\frac{13}{n}=\frac{12}{36}$

d)

$\frac{13}{n}=\frac{36}{12}$

6.

$\Delta ABC$ and $\Delta DEF$ are shown. Which statement is true?

a)

$\Delta ABC\sim\Delta FDE$

b)

$\frac{AB}{CB}=\frac{DE}{FE}$

c)

$<B\cong<D$

d)

$\frac{AB}{AC}=\frac{DF}{DE}$

7.

$\Delta MNP\sim\Delta RST.$ Which statement is true?

a)

$<M=<N$

b)

$\frac{MP}{10}=\frac{5}{4}$

c)

$<N=<R$

d)

$\frac{RS}{5}=\frac{12}{10}$

8.

The two quadrilaterals are shown are similar. Which similarity statement is correct?

a)

$ABCD\sim ZWXY$

b)

$ABCD\sim ZYXW$

c)

$ABCD\sim WZYX$

d)

$ABCD\sim WXYZ$

9.

A parking meter that is 1.6m tall casts a shadow of 3.6m long. At the same time, a tree casts a shadow 9m long. Which proportion could be used to find the height of the tree?

a)

$\frac{x}{9}=\frac{1.6}{3.6}$

b)

$\frac{9}{3.6}=\frac{1.6}{x}$

c)

$\frac{9}{1.6}=\frac{3.6}{x}$

d)

$\frac{x}{1.6}=\frac{3.6}{9}$

10.

$\Delta DEF$ is similar to $\Delta LMN$ . Which THREE proportions can use be used to find the value of x?

a)

$\frac{24}{x}=\frac{12}{13}$

b)

$\frac{12}{10}=\frac{5}{x}$

c)

$\frac{10}{5}=\frac{x}{13}$

d)

$\frac{12}{24}=\frac{13}{x}$

e)

$\frac{13}{x}=\frac{5}{24}$

Similar Figures - Creating Proportions

Total questions: 10

Worksheet time: 21mins

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