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Proportions
Similar Polygons
Proving Triangles Similar
Proportions in Triangles
Miscellaneous
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
100

A triangle is split with a parallel line to the base. The top right segment is 2 in length. The top left is 4 in length. The bottom right segment is 5. Solve for the bottom left segment. 

What is 10?

100

A parallelogram has sides 10 and 5. Another parallelogram has sides 15 and 7.5. Are they similar?

What is Yes?

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?
200

What has to occur for the corollary to the side splitter theorem to exist? 

What is three parallel lines?

200

Geometric mean of 5 and 3. 

What is

sqrt(15)

 ?

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?
300

An angle bisector splits the side of triangle into lengths 5 and 9 The side sharing the vertex with segment 5 is equal to 5. What is the length of the third side?

What is 9?

300
The two conditions for polygons to be similar.
What is corresponding angles are congruent and corresponding sides are proportional?
400
Solve for x. (x+3):3 = (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

The short side of a right triangle is 4. The length of the hypotenuse is 10. What is the length of the short segment created by the altitude?

What is 

16/10?

400

A drawing is 9in high and represents a 467-foot building. .5in represents how many feet?

What is 25.9444444444444444...?

500
Solve for x. 3:5 = 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 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?
500

The altitude of a right triangle is 8. The hypotenuse is split into two pieces with a ratio of 1:2. What is the length of the hypotenuse?

What is 

3*sqrt(32)?

500

My favorite college class.

What is nonparametric statistics?