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1. |
In the figure, points A and B are on circle C and 
Write the contra positive of the true conditional.
Conditional 1: If  then  is a right isosceles triangle.
Conditional 2: If  then  divides the circle into two equal halves. |
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A. |
If does not divide the circle into two equal halves, then  |
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B. |
If is not a right isosceles triangle, then  |
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C. |
If  then does not divide the circle into two equal halves. |
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D. |
If is a right isosceles triangle, then  |
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Hint |
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2. |
Which angle corresponds to  if  |
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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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3. |
If  , which relationship is true? |
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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. |
Find the value of cos 62° to the nearest ten-thousandth. |
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A. |
1.8807 |
B. |
0.8829 |
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C. |
0.8988 |
D. |
0.4695 |
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Hint |
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5. |
In  and  . Find  to the nearest tenth. |
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A. |
45.5 |
B. |
134.5 |
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C. |
54.0 |
D. |
62.5 |
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Hint |
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6. |
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. |
(b, c) |
D. |
(a + b, c) |
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Hint |
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7. |
Find the coordinate of the midpoint of  |
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A. |
8 |
B. |
4 |
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C. |
1 |
D. |
-1 |
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Hint |
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8. |
Which cannot be used as a reason in a proof? |
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A. |
Algebra properties |
B. |
Definitions |
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C. |
postulates |
D. |
conjectures |
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Hint |
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9. |
For the proof shown, provide the reason for part d. |
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A. |
Symmetric Property (=) |
B. |
Definition of Addition |
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C. |
Definition of congruent segments |
D. |
Definition of a line |
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Hint |
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10. |
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. |
Assume what you are trying to prove is true. |
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D. |
State the theorem to be proved. |
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Hint |
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11. |
The segment that has one endpoint at one of the vertices of a triangle and its other endpoint on a line containing the opposite side of the triangle, and is perpendicular to the opposite side of the triangle, is called the __________. |
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A. |
perpendicular bisector |
B. |
angle bisector |
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C. |
altitude |
D. |
median |
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Hint |
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12. |
If ACDF is a rectangle, what is m AEC? |
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A. |
135° |
B. |
45° |
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C. |
90° |
D. |
70° |
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Hint |
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13. |
If  bisects ABC and ADC, and P is the midpoint of , then ABCD can be most precisely defined as a _______. |
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A. |
rhombus |
B. |
square |
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C. |
quadrilateral |
D. |
rectangle |
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Hint |
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14. |
Determine if a semi-regular tessellation can be created from 2 hexagons and 1 square, all having sides of 1 unit long. |
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A. |
Yes, the angle measures are 360° |
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B. |
No, the angle measures are only 330° |
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C. |
No, the angle measures are only 300° |
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D. |
Yes, the angle measures are 180° |
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Hint |
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15. |
Given the left and right sides and the top view, determine which of these is the front view. |
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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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16. |
If a triangle is translated then the preimage and the image must be _________. |
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A. |
perpendicular |
B. |
congruent |
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C. |
similar |
D. |
parallel |
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Hint |
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17. |
Find the perimeter of  with vertices D(2, -2), E(-5, 1), and F(0, 6). |
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A. |
11.5 units |
B. |
57.4 units |
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C. |
14.2 units |
D. |
23.0 units |
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Hint |
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18. |
A _________ is a statement that describes a fundamental relationship between the basic terms of geometry and is accepted as true. |
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A. |
proof |
B. |
theorem |
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C. |
definition |
D. |
postulate |
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Hint |
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19. |
If  and  form a linear pair and m = 72, find m. |
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A. |
72 |
B. |
144 |
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C. |
18 |
D. |
108 |
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Hint |
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20. |
Find the lateral area of the cone. Round to the nearest tenth. |
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A. |
66.0 m2 |
B. |
47.1 m2 |
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C. |
75.4 m2 |
D. |
37.7 m2 |
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Hint |
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