Unit 6 Review Activity: Similar Figures

Solve the proportion below:

• 418
• 2
• 38
• 11

Simplify the ratio. Hint: 12 inches = 1 foot

 $\frac{24in}{4ft}$  

•  $\frac{6in}{1in}$  

•  $\frac{6ft}{1ft}$  

•  $\frac{1ft}{2ft}$  

•  $\frac{2ft}{1ft}$  

To find the height of a very tall pine tree, you measure your shadow and the tree's shadow.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?

(Draw two right triangles: A small right triangle for the tree and a large right triangle for the building)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Find missing side

• 5
• 7
• 9
• 11

What side corresponds with DE?

• CA

• AB

• EC

• BA

What side corresponds with BC?

• FD

• ED

• EC

• CB

Determine whether the triangles are similar.

• SSS~
• AA~
• SAS~
• not similar

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.
• No, not similar because they are the same shape, but side lengths are not proportional.
• Yes, same shape
• No, different sizes

The measures of the angles of a triangle are in the extended ratio 4:3:2. What is the measure of the largest angle?

• 20

• 40

• 60

• 80