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Proportions
Similar Polygons
Proving Triangles Similar
Right Triangle Similarity
Perimeter and Area of Similar Figures
100
There are 17 boys in a class and 22 girls. Find the ratio of boys to students.
What is 17:39?
100
JDRT~JHYX. Angle D = ?
What is angle H?
100
Triangle MOR has sides MO=6 and OR=10. Triangle GHI has sides HI=4 and GH=3. Angle O and angle H are right angles. Are the triangles similar? Explain.
What is no? 6/3 does not equal 10/4.
100

leg = 3 

leg = 4

hypotenuse =

what is 5

100
Corresponding sides of two similar rectangles have a similarity ratio of 3:5. Find the ratio of the perimeters and the ratio of the areas.
What is 3:5 and 9:25?
200
The Leaning Tower of Pisa in Italy is 185 ft. tall. A model of the Leaning Tower is 6 in. tall. Find the ratio of the height of the model to the height of the real tower.
What is 1:370?
200
JDRT~KLMN. ML~_____
What is RD?
200
Triangles FGH and JKH share point H. Also, JK is parallel to FG. Are the triangles similar? Explain.
What is yes by AA similarity?
200

leg = 12

leg = 9

What is 15?

200
The similarity ratio of two similar paralleograms is 1:2. The area of the smaller parallelogram is 6 square inches. Find the area of the larger parallelogram.
What is 24 square inches?
300
Solve for x. x:3 as 5:9.
What is 1.67?
300
JDRT~JHYX. JD:JH as DR:?
What is HY?
300
Triangles ABC and YZX are similar. AB=5, AC=3, XY=4.5, and YZ=x. Find x.
What is 7.5?
300

The reason the hypotenuse can not be 6 if the legs are 7 and 11.

What is the hypotenuse definition (largest side)?

300

The relationship between area of similar triangles.

what is Scale factor squared?

400
Solve for x. (x+3):3 as (10+4):4
What is 7.5?
400
Triangle MLN and Triangle ABC are similar. LM=8, NL=10, MN=6, AB=x, AC=y, BC=5. Find x.
What is 4?
400
Triangle JKL has sides JK=9, JL=12, and KL=15. Triangle PQR has sides PR=1.5, RQ=2, and PQ=2.5. Are the triangles similar? Explain.
What is yes by SSS similarity?
400
A 3 m meter stick is held perpendicular to the ground. It casts a shadow 1.5 m long. At the same time, a telephone pole casts a shadow that is 9 m long. How tall is the telephone pole?
What is 18 m?
400

The scale factor when the area of triangle 1 is 12 and triangle 2 is 3. 

What is 2?

500
Solve for x. 3:5 as 6:(x+3)
What is 7?
500
Triangle MLN and Triangle ABC are similar. LM=8, NL=10, MN=6, AB=x, AC=y, BC=5. Find y.
What is 3?
500
A little boy stands across from a giraffe at the zoo. They are both looking at the same spot on the ground. The spot is 5 ft away from the 5 ft 3 in. boy and is 15 ft from the giraffe. Draw a picture. Are the triangles similar? Explain. If so, find the height of the giraffe.
What is yes by AA similarity? The giraffe is 15ft 9 in tall.
500
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths in the ratio 1:2. The length of the altitude is 8. Find the length of the hypotenuse?
What is 12 square root of 2?
500
It costs a family $300 to have a 15 ft-by-10 ft floor refinished. At that rate, how much would it cost to have a 10 ft-by-10 ft floor refinished?
What is $200?