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1. |
In the figure, bisects at V. Find the measure of if VZ=4a+3 and VW=15-2a. |
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A. |
24 |
B. |
12 |
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C. |
28 |
D. |
22 |
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Hint |
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2. |
Which of the following best describes  |
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A. |
straight |
B. |
obtuse |
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C. |
acute |
D. |
right |
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Hint |
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3. |
Most residential roofs are made of roof trusses. A diagram of a roof truss is shown. Notice that it is triangular in shape. Name the corresponding sides. |
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A. |
  ,   ,    |
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B. |
  ,   ,    |
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C. |
  ,   ,    |
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D. |
  ,   ,   |
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Hint |
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4. |
Refer to the figure. If is isosceles, which of the following can be used to prove  |
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A. |
AAS Theorem |
B. |
SSS Postulate |
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C. |
ASA Postulate |
D. |
SAS Postulate |
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Hint |
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5. |
What is the value of x? |
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A. |
65° |
B. |
58° |
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C. |
122° |
D. |
64° |
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Hint |
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6. |
Which problem-solving strategy is used in indirect proofs? |
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A. |
guess and check |
B. |
draw a diagram |
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C. |
working backward |
D. |
decision-making |
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Hint |
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7. |
Refer to the figure below. A dilation with center C produced the circle in red. What is the scale factor of the dilation? |
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A. |
3 |
B. |
1 |
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C. |
2 |
D. |
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Hint |
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8. |
Which statement is not true? |
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A. |
In an isosceles triangle, the base is congruent to one of the legs. |
B. |
A triangle cannot be obtuse and contain a 90° angle. |
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C. |
A triangle cannot be scalene and isosceles. |
D. |
A triangle can be obtuse and isosceles. |
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Hint |
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9. |
Determine how to classify ABCD most precisely for A(-3, -2), B(-2, 2), C(4, ), and D(3, - ). |
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A. |
parallelogram |
B. |
rhombus |
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C. |
rectangle |
D. |
square |
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Hint |
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10. |
Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides? |
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A. |
neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle |
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B. |
a 45°-45°-90° triangle |
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C. |
both a 45°-45°-90° triangle and a 30°-60°-90° triangle |
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D. |
a 30°-60°-90° triangle |
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Hint |
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11. |
Raul lives in Middleburg. He wants to find the distance between Easton and Westerville. He knows that Easton is 5.7 miles from Middleburg, that Westerville is 9.3 miles from Middleburg, and that the angle formed by the two lines (from Middleburg to Westerville and from Middleburg to Easton) is 69.4°. To the nearest tenth of a mile, what answer should Raul come up with? |
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A. |
4.1 miles |
B. |
9.6 miles |
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C. |
9 miles |
D. |
12.5 miles |
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Hint |
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12. |
The figure shows a quadrilateral circumscribed about a circle. Find the value of x. |
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A. |
32 |
B. |
28 |
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C. |
34 |
D. |
30 |
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Hint |
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13. |
Find the value of z. |
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A. |
10 |
B. |
9 |
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C. |
11 |
D. |
15 |
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Hint |
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14. |
Find the value of x. |
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A. |
6 |
B. |
3 |
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C. |
12 |
D. |
7.5 |
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Hint |
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15. |
Find the area of this figure. |
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A. |
68 |
B. |
24 |
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C. |
85 |
D. |
92 |
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Hint |
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16. |
Which figure does not have a point of symmetry? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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17. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied both Spanish and French? |
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A. |
15 |
B. |
55 |
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C. |
40 |
D. |
1 |
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Hint |
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18. |
Which of the following is not a guideline for placing figures on the coordinate plane? |
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A. |
Use coordinates that make computation as simple as possible. |
B. |
Use the point (1, 1) as a vertex or center. |
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C. |
Place at least one side of a polygon on an axis. |
D. |
Keep the figure in the first quadrant. |
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Hint |
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19. |
Find the x-coordinate of R if PQRS is a rectangle. |
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A. |
b |
B. |
2b |
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C. |
a |
D. |
2a |
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Hint |
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20. |
is tangent to C. Find x. |
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A. |
12 |
B. |
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C. |
6 |
D. |
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Hint |
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