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1. |
The sides of ABCD are proportional to the corresponding sides of EFGH. If AD = 5, DC = 6, and EH = 6, then HG =_________. |
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A. |
6 |
B. |
7.2 |
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C. |
5.8 |
D. |
5 |
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Hint |
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2. |
In a triangle, the ratio of the measures of the sides is 2:3:4 and the perimeter is 72. Find the measures of the sides of the triangle. |
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A. |
20, 22, 30 |
B. |
14, 21, 28 |
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C. |
16, 24, 32 |
D. |
18, 27, 27 |
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Hint |
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3. |
Travel Jim wants to drive from Pleasant Plain, Ohio, to Port Clinton, Ohio, for a weekend vacation on Lake Erie. The two towns are 16.5 inches apart on his map. If the scale indicates that 1 inch represents 10 miles, what is the actual distance between the towns? |
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A. |
150 miles |
B. |
120 miles |
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C. |
10 miles |
D. |
165 miles |
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Hint |
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4. |
Find the value of x in the pair of similar polygons. |
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A. |
7.5 |
B. |
7 |
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C. |
6 |
D. |
7.3 |
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Hint |
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5. |
Find IJ. |
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A. |
10 |
B. |
13 |
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C. |
17 |
D. |
10.5 |
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Hint |
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6. |
In ABC, BE = 4, EC = 10, AD = x, and DC = 11. Find x so that || . |
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A. |
3.5 |
B. |
4.4 |
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C. |
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D. |
3.6 |
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Hint |
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7. |
If a median of a triangle is also an angle bisector, then the triangle is_______. |
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A. |
equilateral |
B. |
isosceles |
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C. |
right |
D. |
scalene |
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Hint |
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8. |
What is the measure of ? |
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A. |
9 |
B. |
8.75 |
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C. |
5.14 |
D. |
7.2 |
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Hint |
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9. |
Which one of the triangles shown is not similar to the others? |
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A. |
X |
B. |
Y |
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C. |
Z |
D. |
W |
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Hint |
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10. |
In the figure, . If FH = 12, HJ = 3, and the perimeter of HIJ = 13, then what is the perimeter of FGH? |
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A. |
36 |
B. |
48 |
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C. |
25 |
D. |
52 |
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Hint |
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11. |
What is the sum of the values in the twelfth row of Pascal's Triangle? |
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A. |
121 |
B. |
2048 |
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C. |
144 |
D. |
4096 |
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Hint |
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12. |
Sierpinski's Triangle is not _________. |
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A. |
a fractal |
B. |
strictly self-similar |
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C. |
the same as Pascal's Triangle |
D. |
self-similar |
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Hint |
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