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1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
postulate |
B. |
theorem |
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C. |
definition |
D. |
proof |
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Hint |
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2. |
For the proof shown, provide statement 5. |
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A. |
AC = DF |
B. |
BC = EF |
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C. |
AB = DE |
D. |
AB = EF |
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3. |
In the figure shown,  is an exterior angle of  Which
statement is correct? |
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A. |
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B. |
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C. |
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D. |
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4. |
Which inequality describes the range of possible values for x? |
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A. |
4 < x < 14 |
B. |
-6 < x < 14 |
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C. |
x < 14 |
D. |
x < 4 and x > 14 |
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Hint |
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5. |
The measures of a pair of base angles of an isosceles trapezoid are
7x - 12 and 5x + 6. Find the value of x. |
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A. |
9 |
B. |
3 |
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C. |
6 |
D. |
12 |
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6. |
In the triangle, sin A = ____. |
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A. |
5 |
B. |
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C. |
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D. |
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Hint |
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7. |
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot. |
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A. |
235.2 ft |
B. |
10.4 ft |
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C. |
48.9 ft |
D. |
10.6 ft |
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Hint |
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8. |
Which term describes the tessellation shown? |
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A. |
regular |
B. |
none of these |
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C. |
not uniform |
D. |
uniform |
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Hint |
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9. |
Suppose that, in a tessellation by regular hexagons and equilateral triangles, two hexagons meet at a vertex. How many of the triangles must meet at that vertex? |
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A. |
3 |
B. |
1 |
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C. |
4 |
D. |
2 |
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Hint |
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10. |
ABCD is a parallelogram. What are the coordinates of C? |
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A. |
(b, a + c) |
B. |
(a, c) |
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C. |
(a + b, c) |
D. |
(b, c) |
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Hint |
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11. |
What type of transformation results from successive reflections about two parallel lines? |
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A. |
turn |
B. |
dilation |
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C. |
rotation |
D. |
translation |
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Hint |
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12. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
If possible, draw a diagram to illustrate the given information. |
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B. |
List the given information. |
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C. |
State the theorem to be proved. |
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D. |
Assume what you are trying to prove is true. |
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Hint |
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13. |
Find the distance from R(6, -4) to the line with the equation y = 12. |
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A. |
6 |
B. |
8 |
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C. |
16 |
D. |
-16 |
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Hint |
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14. |
The measures of the diagonals of an isosceles trapezoid are 3x + 7 and 5x - 11, respectively. Find the value of x. |
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A. |
9 |
B. |
7 |
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C. |
3 |
D. |
5 |
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Hint |
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15. |
In  GIF, m I = 72, I = 23, and g = 19. Find f to the nearest tenth. |
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A. |
20.1 |
B. |
27.8 |
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C. |
26.3 |
D. |
19 |
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Hint |
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16. |
In WXY, w = 38, x = 49, and y = 22. Find mY to the nearest tenth. |
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A. |
154.5 |
B. |
25.5 |
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C. |
106.4 |
D. |
48.1 |
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Hint |
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17. |
Analyze the figure. Determine if it will tessellate in a plane or not and if so, which type of tessellation will it be. |
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A. |
Yes, uniform and semi-regular |
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B. |
Yes, regular |
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C. |
Yes, not uniform |
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D. |
No, it will form an overlapping pattern |
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Hint |
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18. |
A dilation with center C produced quadrilateral RSTV. What is the scale factor? |
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A. |
2 |
B. |
12 |
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C. |
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D. |
9 |
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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 chocolate ice cream to vanilla ice cream was greater than 25%. |
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D. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 25%. |
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Hint |
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20. |
Identify the coordinates of Z. |
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A. |
(-c, -b) |
B. |
(-c, a) |
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C. |
(c, -b) |
D. |
(-c, b) |
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Hint |
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