Shadows Similar Figures

These two triangles are similar to each other. What is measure is angle Y?

Mathematical Equivalence

ON

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m

Find the missing area. 

• 0

• 12

• 24

• 30

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.

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

This symbol stands for ...

• is corresponding to

• is proportional to

• is congruent to

• is similar to

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

• 22.5 cm

• 8 cm

• 10.8 cm

• 30 cm

What is the length in inches of line segment PQ?

• 40 in.

• 34 in.

• 38 in.

• 14 in.