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1. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
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A. |
AB + CD = 12 |
B. |
None of the statements are valid conjectures. |
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C. |
AB = BD |
D. |
AB = CD |
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Hint |
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2. |
Which property of equality justifies the statement
if x – 2 = 9, then x = 11? |
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A. |
Symmetric Property of Equality |
B. |
Transitive Property of Equality |
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C. |
Multiplication Property of Equality |
D. |
Addition Property of Equality |
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Hint |
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3. |
Refer to the figure below. Which statement is false? |
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A. |
 and  are alternate exterior angles. |
B. |
m is a transversal for s and t. |
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C. |
 and  are corresponding angles. |
D. |
 and  are alternate interior angles. |
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Hint |
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4. |
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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5. |
Find the values of x and y that ensure that the quadrilateral is a parallelogram. |
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A. |
x = 40, y = 50 |
B. |
x = 100, y = 80 |
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C. |
x = 90, y = 90 |
D. |
x = 80, y = 100 |
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Hint |
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6. |
Architecture On the floor plan for a building, 1 inch represents 20 feet. If the dimensions of a room on the plan are  inch by  inches, what are the actual dimensions of the room? |
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A. |
18 ft by 21.5 ft |
B. |
15.5 ft by 25 ft |
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C. |
16 ft by 28 ft |
D. |
17.5 ft by 25 ft |
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Hint |
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7. |
In  , and a = 12. Find b to the nearest tenth. |
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A. |
23.2 |
B. |
20.9 |
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C. |
6.9 |
D. |
6.2 |
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Hint |
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8. |
What is the equation of a line perpendicular to the line with equation
2x - 5y = 5? |
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A. |
2x - 5y = 11 |
B. |
10x + 4y = 3 |
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C. |
2x - y = -1 |
D. |
2x + 5y = -3 |
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Hint |
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9. |
Which is an equation of the line with slope  and passing through the point at (1, 2)? |
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A. |
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B. |
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C. |
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D. |
y = 2x + 1 |
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Hint |
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10. |
Which of the following best describes AGF? |
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A. |
acute |
B. |
obtuse |
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C. |
straight |
D. |
right |
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Hint |
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11. |
8 and 13 are _______. |
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A. |
alternate exterior angles |
B. |
consecutive interior angles |
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C. |
corresponding angles |
D. |
alternate interior angles |
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Hint |
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12. |
Find the value of x so the line that passes through (x, 6) and (10,-3) is parallel to the line that passes through (7, 2) and (6, 11) |
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A. |
-71 |
B. |
9 |
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C. |
-9 |
D. |
1 |
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Hint |
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13. |
Choose the possible measure for 1 in the figure shown. |
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A. |
11° |
B. |
180° |
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C. |
0° |
D. |
110° |
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14. |
The two triangles shown are similar by __________. |
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A. |
AA Similarity |
B. |
SSS Similarity |
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C. |
SAS Similarity |
D. |
ASA Similarity |
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Hint |
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15. |
What is the measure of  ? |
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A. |
7.2 |
B. |
8.75 |
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C. |
9 |
D. |
5.14 |
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Hint |
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16. |
Find the slope of  for isosceles trapezoid ABCD. |
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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. |
40 |
B. |
55 |
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C. |
15 |
D. |
1 |
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Hint |
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18. |
Find the coordinates of L. |
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A. |
(2 a, 0) |
B. |
(2a, 2b) |
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C. |
(2a, 0) |
D. |
(a, 2b) |
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Hint |
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19. |
Which assumption would you make to start an indirect proof of the following statement? The majority of students surveyed preferred chocolate ice cream to vanilla ice cream. |
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A. |
The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 50%. |
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B. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 50%. |
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C. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 25%. |
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D. |
The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 25%. |
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Hint |
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20. |
Which set of side measures forms a Pythagorean triple? |
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A. |
5, 5, 5 |
B. |
8, 15, 23 |
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C. |
10, 24, 26 |
D. |
13, 14, 15 |
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Hint |
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