Proportion and Similarity Practice

Proportion and Similarity Practice

November 12, 2020

Multiple Choice

Example 1, Part 1: 

A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. Which of the following is NOT a proportion that accurately represents the given example?

• $\frac{24}{12}=\frac{6}{x}$

• $\frac{24}{6}=\frac{12}{x}$

• $\frac{24}{12}=\frac{x}{6}$

Fill in the Blank

Example 1, Part 2:

A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow?

Fill in the Blank

Example 2:

Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS?

Example 3

Copy down the diagram. You will be using it for the next two questions

Multiple Choice

Example 3, Part 1:

A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. Which of the following is a proportion that accurately represents the given situation?

• $\frac{x}{160}=\frac{360}{90}$

• $\frac{x}{160}=\frac{450}{90}$

• $\frac{x}{450}=\frac{90}{160}$

Fill in the Blank

Example 3, Part 2:

A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How tall is the lamp post?

Multiple Choice

True or False:

 $Ratio\ of\ sides=Ratio\ of\ the\ Perimeters$  

• True

• False

Multiple Choice

True or False:

 $\left(Ratio\ of\ sides\right)^2=Ratio\ of\ the\ Areas$  

• True

• False

Multiple Choice

Example 4, Part 1:
Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275. Which of the following proportions can be used to solve for the perimeter of TUV?

•  $\frac{114}{x}=\frac{50}{275}$  

•  $\frac{24}{x}=\frac{50}{275}$  

Fill in the Blank

Example 4, Part 2:

Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275. What is the perimeter of TUV?

Example 5

Copy down the diagram. You will be using it for the next question

Fill in the Blank

Using the diagram in the previous slide, solve for x and y respectively. Seperate your answers with a comma.

Fill in the Blank

Solve the proportion.

 $\frac{m}{m+2}=\frac{m-2}{m-4}$