Ratios and Proportions
Similar Triangles
Applications/Word Problems
100
9/2 = 4/b
What is b=8/9?
100

Angles must be _________.

What is equal/congruent?

100
Malik is standing outside in the sun. Malik is 72” tall and his shadow is 60” long. Jeremy is standing near Malik. Jeremy’s shadow is 56” long. Draw a diagram to represent this situation and use it to calculate Jeremy’s height.
What is 67.2 in?
200
3/2 = n/4
What is 6?
200

Corresponding sides must be _______.

What is proportional/scaled?

200
If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find the height of the tree.
What is 36 feet?
300

7/2 = x/11

What is 38.5?

300
Triangle ABC has sides 5, 10, 15. Triangle DEF has sides 3, 6, 9. These two triangles are _______.
What is similar?
300
A triangle with side lengths 5,11, and 15 is similar to another triangle with the longest side being 24. What is the perimeter of the larger triangle?
What is 49.6?
400
4/x = 12/5
What is 5/3 or 1.67?
400
Triangle ABC has sides 5, 7, 11. Triangle DEF has sides 6, 8, 10. These triangles are ___________.
What is not similar?
400
Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backward until he can see the top of the geyser in the middle of the mirror. At that point, Ramon’s eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the height of the geyser.
What is 36 feet?
500

9/11 = 1523/x

What is 73.5?

500
ABC and DEF are similar. The two smallest sides in ABC are 4 and 5. The two smallest sides in DEF are 2 and x. x = ___.
What is 5/2 or 2.5?
500
On level ground, the base of a tree is 20 ft from the bottom of a 48-ft flagpole. The tree is shorter than the pole. At a certain time, their shadows end at the same point 60 ft from the base of the flagpole. How tall is the tree?
What is 32 feet?
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