Ratios
Proportions
Scale Factor
Similar Polygons
Other Stuff
100
Simplified form of the following ratio: 2 lb: 24 lb.
What is 1:12.
100
The value of z in: z/4 = 15/12
What is z=5?
100
Two corresponding sides of similar triangles have the lengths of 24 cm and 60 cm. What would be the scale factor of these triangles?
What is 2:5?
100
Decide if the 2 triangles are similar. If they are, give the scale factor as your answer. If they are not, state why. Figure 1.
no; 5/6 does not equal 3/4
100
Geometric mean of 4 and 9.
What is 6?
200
The simplified form of the ratio 1600 m: 5 km
What is 8:25?
200
Use the diagram to find AC. Figure 2.
What is 25/3 or 8.3?
200
Find the scale factor of WXYZ to MNOP. Figure 3.
What is 3:1?
200
Decide if the 2 triangles are similar. If they are, give the scale factor as your answer. If they are not, state why. Figure 4
Yes; 24/6=4/1 and 16/4=4/1 Scale factor is 4/1.
200
Geometric mean of 9 and 16.
What is 12?
300
The three measures of a triangle whose angles are in the extended ratio of 2:3:4
What are 40˚, 60˚, 80˚?
300
A model of a Sherman Tank has a scale of 1:16. The length of the actual tank is 584 cm. What is the length of the model?
What is 36.5 cm?
300
Find the value of x. Figure 5.
What is x=3?
300
Find the perimeter of triangle PQR, if the perimeter of LMN is 35 ft and their corresponding scale factor is 12:7. Figure 6.
What is 60ft?
300
What are the three ways to determine if triangles are similar?
What are A-A, S-S-S, and S-A-S?
400
The length of a rectangle whose perimeter is 480 feet and length to width ratio is 5:1
What is 200 ft.?
400
In November, 2005, the exchange rate of Canadian dollars to U.S. dollars was 1 to 0.85. A Canadian citizen paid $12.28 in U.S. dollars for lunch while visiting New York City. What was the price of the lunch in Canadian dollars?
What is $14.45?
400
The definition of a scale factor.
What is the simplified ratio of two corresponding lengths in two similar geometric figures?
400
The characteristics of two similar polygons.
What is the angles must be congruent and the corresponding side lengths should be proportional?
400
Simplify the ratio 6ft/26in.
What is 36:13?
500
The length of a rectangle whose area is 192 square feet and length to width ratio is 1:3
What is 8 feet?
500
You plan on purchasing a new shirt for $20. Recently, a Kim bought a a new shirt for $30 and paid an additional $3 in sales tax. Assuming the same sales tax rate applies, how much should you expect to pay in sales tax?
What is $2?
500
Explain the relationship between the scale factor of two similar polygons and the perimeter scale factor of the same two polygons.
What is both scale factors are the same?
500
In table tennis, the table is a rectangle 9 feet long and 5 feet wide. A tennis court is a rectangle 78 feet long and 36 feet wide. Are the two surfaces similar? Explain.
No; the sides are not proportional.
500
Geometric Mean of 16 and 12. Leave in radical form.
What is 8√(3)?
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