Proportions
Similar Polygons
Proving Triangles Similar
100
There are 18 boys in a class and 22 girls. Find the ratio of boys to girls.
What is 9:11?
100
JDRT~JHYX. Angle D = ?
What is angle H?
100
Triangle MOR has sides MO=5 and OR=10. Triangle GHI has sides HI=4 and GH=2. Angle O and angle H are right angles. Are the triangles similar? Explain.
What is yes? By SAS
200
The Leaning Tower of Pisa in Italy is 185 ft. tall. The scale on a drawing of the Leaning Tower of Pisa 1 in=35 ft. How tall is the drawing of the tower?
5.29 inches
200
JDRT~KLMN. LM~_____
What is DR?
200
In triangle ABC, AB=3 BC=6 and AC=9. In triangle XYZ, XY=12 YZ=24 and XZ=35. Are the triangles similar?
What is no?
300
Solve for x. x:3 = 5:9.
What is 1.67?
300
JDRT~JHYX. JD:JH = 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?
400

Solve for x. x:5 = 8:11

What is 3.6?

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?
500

Solve for x. 3:5 = 6:x

What is 10?

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 60 in. away from the 63 in. boy and is 180 in. from the giraffe. Draw a picture and find the height of the giraffe.
What is 189 in. tall?