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Ratios and Proportions
Algebra
Similar Triangles
Applications
100

9/2 = 18/b

What is b=4?

100

Solve 2x+3=11

What is x=4?

100

In similar triangle angles must be _________.

What is congruent (or the same)?

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

Solve x-20=-2x+10

What is x=10?

200

In Similar triangle corresponding sides must be _______.

What is proportional?

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 = -n/-22

What is n=-77?

300

Collect like terms in:

3+2x+x2+3x-6

What is x2+5x-3?

300

Triangle ABC has sides 5, 10, 15. Triangle DEF has sides 15, 30, 45. 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

Solve x2=16 for negative values of x

What is -4?

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 = (n-6)/(n+9)

What is 73.5?

500
Solve x2+8x+7=0 for x

What is 7 or 1?

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?