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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 is a right isosceles triangle, 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 does not divide the circle into two equal halves, then  |
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Hint |
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2. |
Name a pair of corresponding angles. |
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A. |
 and  |
B. |
 and  |
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C. |
 and  |
D. |
 and  |
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Hint |
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3. |
Find the value of x. |
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A. |
145 |
B. |
54 |
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C. |
126 |
D. |
110 |
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Hint |
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4. |
Determine the slope of any line perpendicular to  . |
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A. |
3 |
B. |
-3 |
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C. |
 |
D. |
 |
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Hint |
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5. |
The polygon shown is_______. |
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A. |
regular |
B. |
concave |
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C. |
a quadrilateral |
D. |
a hexagon |
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Hint |
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6. |
Find ST if S is between R and T, SR = 2x + 7, ST = x - 6, and RT = 100 |
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A. |
33 |
B. |
74 |
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C. |
27 |
D. |
99 |
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Hint |
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7. |
Find the coordinates of R, the midpoint of  , if the endpoints of are Q(3, -5) and S(-3, 6). |
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A. |
 |
B. |
(6,1) |
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C. |
 |
D. |
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Hint |
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8. |
Name a point on the interior of  BGD. |
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A. |
G |
B. |
A |
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C. |
C |
D. |
D |
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Hint |
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9. |
Which of the following best describesAGF? |
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A. |
right |
B. |
straight |
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C. |
obtuse |
D. |
acute |
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Hint |
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10. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
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A. |
The team finished 5th in their conference. |
B. |
The team won their last 5 games. |
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C. |
The team was undefeated. |
D. |
The team played 19 games.. |
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Hint |
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11. |
Which law is similar to the Transitive Property? |
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A. |
Law of Syllogism |
B. |
Law of Conditional |
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C. |
Law of Deductive Reasoning |
D. |
Law of Detachment |
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Hint |
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12. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Symmetric Property |
B. |
Distributive Property |
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C. |
Reflexive Property (=) |
D. |
Transitive Property (=) |
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Hint |
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13. |
Which cannot be used as a reason in a proof? |
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A. |
postulates |
B. |
Definitions |
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C. |
conjectures |
D. |
Algebra properties |
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Hint |
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14. |
For the proof shown, provide the reason for part d. |
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A. |
Definition of Addition |
B. |
Definition of congruent segments |
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C. |
Symmetric Property (=) |
D. |
Definition of a line |
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Hint |
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15. |
Which statement needs to be true to prove  |
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A. |
m1 + m3 = 180° |
B. |
4  1 |
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C. |
1 2 |
D. |
1 3 |
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Hint |
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16. |
Write the equation of the line parallel to  that passes through the point (6,-1). |
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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. |
Find AC. |
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A. |
1.5 cm |
B. |
5.0 cm |
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C. |
3.5 cm |
D. |
4.9 cm |
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Hint |
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18. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
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A. |
29 units |
B. |
72 units |
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C. |
11 units |
D. |
12 units |
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Hint |
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19. |
What is the perimeter of rectangle GHIJ with vertices G(-7, -3), H(-7, 3), I(1, 3), and J(1, -3)? |
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A. |
48 units |
B. |
28 units |
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C. |
13 units |
D. |
54 units |
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Hint |
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20. |
Construct a truth table for  p q. |
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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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