Proportions
Similar Polygons
Proving Triangles Similar
The Hidden Shadow
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
The name of the PHS Bulldog.
What is Spike?
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
To the nearest half-foot, the height of the tallest man ever documented.
What is 9 ft?
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
To the nearest 10,000, the population of Mesa County in 2013?
What is 150, 000?
300
Two similar triangles have corresponding sides that measure 16 ft and 12 ft. The area of the larger triangle is 105 square feet. Find the area of the smaller triangle.
What is approximately 59 square feet?
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
Find the similarity ratio and ratio of perimeters for two similar trapezoids with areas 49 square centimeters and 9 square centimeters.
What is 7:3?
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 age of the oldest player to play college basketball during the last ten years?
What is 70?
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?