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1. |
Find DF if D is between E and F, ED = 6x - 4, DF = 3x + 5, and
EF = 46. |
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A. |
20 |
B. |
28 |
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C. |
22 |
D. |
26 |
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Hint |
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2. |
If  and  is a right angle, what is the measure of  |
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A. |
130 |
B. |
135 |
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C. |
125 |
D. |
145 |
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Hint |
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3. |
Name a pair of angles that are adjacent, but not complementary or supplementary. |
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A. |
 and |
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B. |
 and |
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C. |
 and |
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D. |
and |
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Hint |
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4. |
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  then does not divide the circle into two equal halves. |
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C. |
If is not a right isosceles triangle, then  |
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D. |
If is a right isosceles triangle, then  |
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Hint |
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5. |
Justify step 2 in solving  |
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A. |
Distributive Property (=) |
B. |
Subtraction Property (=) |
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C. |
Multiplication Property (=) |
D. |
Division Property (=) |
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Hint |
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6. |
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. |
State the theorem to be proved. |
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C. |
List the given information. |
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D. |
Develop a system of inductive reasoning. |
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Hint |
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7. |
Which statement explains why  |
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A. |
Angles complementary to the same angle or to congruent angles are congruent. |
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B. |
All right angles are congruent. |
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C. |
Vertical angles are congruent. |
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D. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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Hint |
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8. |
Which figure is not a polygon? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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9. |
Which of the following statements is true? |
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A. |
 intersects plane M at point C. |
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B. |
intersects plane M in two points. |
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C. |
intersects plane M at point B. |
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D. |
The intersection of and plane M is  . |
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Hint |
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10. |
Find XY on the number line shown. |
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A. |
4 |
B. |
7 |
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C. |
-7 |
D. |
0 |
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Hint |
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11. |
Name a point on the interior of  BGD. |
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A. |
D |
B. |
G |
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C. |
A |
D. |
C |
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Hint |
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12. |
In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. |
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A. |
hypothesis, converse |
B. |
converse, negation |
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C. |
inverse, negation |
D. |
converse, inverse |
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Hint |
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13. |
What is the negation of the conclusion of the following conditional?
All birds can fly. |
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A. |
It can fly. |
B. |
It is a bird |
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C. |
It is not a bird. |
D. |
It cannot fly. |
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Hint |
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14. |
Which statement follows from (1) and (2) by the Law of Syllogism? (1) If two angles form a linear pair, then they are supplementary. (2) If two angles are supplementary, then the sum of their measures is 180. |
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A. |
The measures of supplementary angles add up to 180. |
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B. |
A linear pair is formed by supplementary angles. |
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C. |
Supplementary angles form a linear pair. |
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D. |
The sum of the measures of the angles in a linear pair is 180. |
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Hint |
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15. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
If WXYZ is not a square, then it has four right angles. |
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B. |
If WXYZ is not a square, then it does not have four right angles. |
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C. |
WXYZ has four right angles. |
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D. |
If WXYZ has four right angles, then it is a square. |
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Hint |
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16. |
Which is an example of the Symmetric Property? |
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A. |
If 2x = 12, then x = 6 |
B. |
5(6 - 2) = 30 - 10 |
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C. |
2x = 2x |
D. |
If 0.2 =  , then = 0.2 |
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Hint |
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17. |
For the proof shown, provide statement 3. |
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A. |
CD = EF |
B. |
AB = BA |
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C. |
AB = CD |
D. |
AB = EF |
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Hint |
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18. |
Given that R is between S and T, SR =  , and RT =  , find ST. |
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A. |
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B. |
2 |
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C. |
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D. |
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Hint |
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19. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
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A. |
29 units |
B. |
11 units |
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C. |
12 units |
D. |
72 units |
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Hint |
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20. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
Through any three points not on the same line, there is exactly one plane. |
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B. |
If two planes intersect, then their intersection is a line. |
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C. |
If two lines intersect, then their intersection is exactly one point. |
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D. |
Through any two points, there is exactly one line. |
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Hint |
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