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

Complete the theorem:

"If a line intersects 2 sides of a triangle and separates the sides into proportional lengths, then ______________"

The line is parallel to the 3rd side.

200

Define a midsegment in a triangle

Midpoint the 2 intersected sides, 1/2 the length and parallel of the other side. 

300

DAILY DOUBLE!!!!

Solve for x. x:3 = 5:9.

What is 1.67 OR 5/3

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

Triangle AC is similar to Triangle DEF. The sides of ABC are 6cm, 8cm, and 10cm. The shortest side of DEF is 9cm. Find the length of the other 2 sides of Triangle DEF.

What is 12 & 15?

300

DAILY DOUBLE!!!

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 ratio of the sides of an isosceles triangle is 4:4:7 and the perimeter is 52.5. What is the length of the base of the isosceles triangle?

What is 24.5?

400

A drawing is 9in high and represents a 467-foot building. 1/2in represents how many feet (round to the nearest 10th)?

What is 26?

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

DAILY DOUBLE!!!

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

In Triangle ABC, a smaller triangle ADE is formed inside it and is similar to the larger triangle. Point D diveds side AB so that AD=6 and DB=9. The perimeter of triangle ADE is 24. What is the perimeter of Triangle ABC?

60

500

What city is the University of Mary Hardin-Baylor located?

Belton, TX
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