Proportions
Similar Polygons
Proving Triangles Similar
Right Triangle Similarity
Parts of Similar Triangles
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
Find the geometric mean of 5 and 125.
What is 25?
100

The distance from the film to the lens in a camera is 10 centimeters. The film image is 5 centimeters high. Tamika is 164 centimeters tall. How far should she be from the camera in order for the photographer to take a full-length picture?

330 cm or 3.3 m

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
Find the geometric mean of 9 and 24.
What is 6 square root of 6.
200

Triangle ABC is similar to triangle DEF. If AC =10.5, AB=6.5, and DE=8, find DF.

DF=12.9

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
Find the geometric mean of 3 and 16.
What is 4 square root of 3?
300

Find the perimeter triangle ABC. Triangle ABC ~ Triangle CBD, AD=5, CD=12, and BC=31.2

Triangle ABC=78

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

Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 p.m. The length of the shadow was 0.9 meter. Then she measured the Eiffel Tower's shadow, and it was 240 meters. What is the height of the Eiffel Tower?

320 meters

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

Triangles ABC and TBS have vertices A(-2, -8), B(4, 4), C(-2, 7), T(0, -4), and S(0, 6). Find the ratio of the perimeters of the two triangles.

25/16

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