Similar figures lesson

Multiple Choice

Which of the following statements best explains why the two triangles shown are similar?

• They have the same side lengths.

• Their corresponding angles are equal and their sides are proportional.

• They are both right triangles.

• They have the same area.

Open Ended

In your own words, explain how you would find the missing side length in the larger parallelogram using the properties of similar figures?

Open Ended

Write 3 different proportions that prove the two figures in example 2 are similar.

Multiple Choice

$$\sim$$  

• angle

• perpendicular

• parallel

• is similar to (tilde)

Multiple Choice

$$\cong$$  

• is similar to

• is congruent to

• is equal to

Multiple Choice

The  term "corresponding" means ...

• congruent
• similar
• matching 
• multiply 

Multiple Choice

All angles in similar figures are congruent.  

• True
• False

Multiple Choice

Figure I and Figure II are similar figures. Which proportion must be true?

Multiple Choice

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

• x = 9
• x = 28
• x = 7
• x = 63

Multiple Choice

The triangles are similar. Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Multiple Choice

The triangles are similar. Find missing side

• 5

• 7

• 9

• 11

Multiple Choice

Are the following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

Multiple Choice

Which triangles are similar?

• ABC and DEF

• ABC and GHI

• DEF and GHI

• None

Multiple Choice

Which proportion would allow you to solve for the missing side, x?

• A

• B

• C

• D

Multiple Choice

Which proportion could be used to solve for x?

• A

• B

• C

• D

Multiple Choice

Complete the congruence statement.

• CRP
• PCR
• RPC
• PRC

Multiple Choice

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

• $$\frac{5}{15}=\frac{n}{12}$$  

• $$\frac{15}{5}=\frac{n}{12}$$  

• $$\frac{13}{n}=\frac{12}{36}$$  

• $$\frac{13}{n}=\frac{36}{12}$$  

Multiple Choice

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

• $$\Delta ABC\sim\Delta FDE$$  

• $$\frac{AB}{CB}=\frac{DE}{FE}$$  

• $$<B\cong<D$$  

• $$\frac{AB}{AC}=\frac{DF}{DE}$$  

Multiple Choice

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?

• $$\frac{x}{9}=\frac{1.6}{3.6}$$

• $$\frac{9}{3.6}=\frac{1.6}{x}$$

• $$\frac{9}{1.6}=\frac{3.6}{x}$$

• $$\frac{x}{1.6}=\frac{3.6}{9}$$

Multiple Select

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

• $$\frac{24}{x}=\frac{12}{13}$$  

• $$\frac{12}{10}=\frac{5}{x}$$  

• $$\frac{10}{5}=\frac{x}{13}$$  

• $$\frac{12}{24}=\frac{13}{x}$$  

• $$\frac{13}{x}=\frac{5}{24}$$  

Multiple Choice

Which proportion is true?

• $$\frac{v}{w}=\frac{5}{4.38}$$

• $$\frac{v}{6}=\frac{4.2}{2.52}$$

• $$\frac{6}{w}=\frac{5}{7.3}$$

• $$\frac{v}{6}=\frac{7.3}{2.52}$$

Open Ended

Do you have any questions about similar figures, or is there something more you would like to learn about this topic?