Similar Polygons

Similar Polygons

Corresponding Parts of Similar Triangles

• Corresponding angles of similar triangles are congruent.

• Corresponding sides of similar triangles are proportional.

• The smaller of two similar triangles can be drawn inside the larger triangle.

Multiple Choice

 $\Delta ABC\sim\Delta DEF$  is the same a saying which of the following

• Triangle ABC is congruent to triangle DEF.

• Triangle ABC is similar to triangle DEF

• Triangle ABC is equal to triangle DEF

• None of the statements above are correct.

Multiple Choice

If  $\Delta DEF\sim\Delta GHI$ , then  $\angle D\$  is congruent to which angle?

•  $\angle H$  

•  $\angle I$  

•  $\angle G$  

•  $\angle F$  

Multiple Choice

Look at the two triangle in the picture. The two triangles are similar. Select the correct similarity statement.

• $\Delta CBA\sim\Delta PQR$

• $\Delta ABC\sim\Delta QRP$

• $\Delta ABC\sim\Delta PQR$

• $\Delta BCA\sim\Delta RQP$

Multiple Choice

Look at the two triangle in the picture. The two triangles are similar. Select the correct similarity statement.

• $\Delta ACB\sim EFD$

• $\Delta CBA\sim\Delta DEF$

• $\Delta ABC\sim\Delta DEF$

• None of the statements above are correct.

Finding the Missing Parts of Similar Figures

• Find the missing side length by using a proportion.

• Remember: cross multiply to solve a proportion.

Multiple Choice

Look at the picture. Find the missing side length. Select your answer below.

• A

• B

• C

• D

Multiple Choice

Look at the picture. Find the missing side length. Select your answer below

• A

• B

• C

• D

Multiple Choice

Look at the picture. Find the value of x. Select your answer below

• A

• B

• C

• D

Multiple Choice

Look at the picture. Find the value of x. Select your answer below

• A

• B

• C

• D

Solving Shadow Problems

• Solve shadow problems like you did when find the missing side length of a similar triangle.

Multiple Choice

Look at the picture. Find the value of x.

• 14 ft

• 28 ft

• 10 ft

• 18 ft

Multiple Choice

Look at the picture. Find the value of x.

• 40

• 130

• 20

• 169

Finding Scale Factor with Similar Figures

Multiple Choice

 Find the scale factor of  $\Delta RPQ\ to\ \Delta UST$ .

•  $\frac{2}{3}$  

•  $2$  

•  $\frac{3}{2}$  

•  $\frac{12}{8}$  

Multiple Choice

Find the scale factor of  $\Delta ACT\sim\Delta GOD$ .

•  $\frac{1}{4}$  

•  $\frac{4}{1}$  

•  $\frac{8}{12}$  

•  $\frac{8}{2}$