Similar Figures - Creating Proportions

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

•  $\overline{AB}$  
  

•  $\overline{BC}$  
  

•  $\overline{CA}$  
  

•  $\overline{DF}$  
  

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

•  $<E$  
  

•  $<F$  
  

•  $<G$  

•  $<H$ 

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

• $\overline{TQ}$ and $\overline{BE}$

• $\overline{TS}$ and $\overline{CD}$

• $\overline{RS}$ and $\overline{BC}$

• $\overline{QR}$ and $\overline{CD}$

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

• $\frac{PQ}{DE}=\frac{4}{6}$

• $\frac{PQ}{DE}=\frac{6}{4}$

• $\frac{PQ}{EF}=\frac{4}{9}$

• $\frac{PR}{DE}=\frac{6}{6}$

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

•  $\frac{5}{15}=\frac{n}{12}$  

•  $\frac{15}{5}=\frac{n}{12}$  

•  $\frac{13}{n}=\frac{12}{36}$  

•  $\frac{13}{n}=\frac{36}{12}$  

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

•  $\Delta ABC\sim\Delta FDE$  

•  $\frac{AB}{CB}=\frac{DE}{FE}$  

•  $<B\cong<D$  

•  $\frac{AB}{AC}=\frac{DF}{DE}$  

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

•  $<M=<N$  

•  $\frac{MP}{10}=\frac{5}{4}$  

•  $<N=<R$  

•  $\frac{RS}{5}=\frac{12}{10}$  

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

• $ABCD\sim ZWXY$

• $ABCD\sim ZYXW$

• $ABCD\sim WZYX$

• $ABCD\sim WXYZ$

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?

• $\frac{x}{9}=\frac{1.6}{3.6}$

• $\frac{9}{3.6}=\frac{1.6}{x}$

• $\frac{9}{1.6}=\frac{3.6}{x}$

• $\frac{x}{1.6}=\frac{3.6}{9}$

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

•  $\frac{24}{x}=\frac{12}{13}$  

•  $\frac{12}{10}=\frac{5}{x}$  

•  $\frac{10}{5}=\frac{x}{13}$  

•  $\frac{12}{24}=\frac{13}{x}$  

•  $\frac{13}{x}=\frac{5}{24}$