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1. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
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A. |
A, B, and C are collinear. |
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B. |
A, B, and C form on equilateral triangle. |
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C. |
A, B, and C are noncollinear. |
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D. |
A, B, and C form a right triangle. |
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Hint |
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2. |
Refer to the figure. If G is the midpoint of , which conjecture is true? |
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A. |
None of the statements are true. |
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B. |
is exactly 5 feet long. |
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C. |
intersects at exactly two points. |
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D. |
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Hint |
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3. |
Determine the converse of the following if-then statement. If the flowers are yellow, then they are daffodils. |
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A. |
The flowers are not yellow. |
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B. |
If the flowers are not yellow, then they are not daffodils. |
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C. |
The flowers are not daffodils. |
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D. |
If the flowers are daffodils, then they are yellow. |
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Hint |
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4. |
A ______________ is a diagram that can be used to illustrate a conditional. |
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A. |
flow chart |
B. |
tree diagram |
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C. |
bar graph |
D. |
Venn diagram |
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Hint |
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5. |
Which statement shows the Transitive Property of Equality? |
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A. |
If and then  |
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B. |
If AB = CD and AB =EF, then  |
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C. |
If AB = CD, then CD = AB. |
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D. |
If AB + BC = DE + BC, then AB = DE. |
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Hint |
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6. |
Complete the proof. |
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A. |
Substitution Property (=) |
B. |
Transitive Property |
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C. |
Angle Addition Property |
D. |
Addition Property (=) |
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Hint |
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7. |
In the figure shown, is complementary to and is complementary to . Which statement is true if none of the measures of the angles equal 45? |
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A. |
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B. |
is complementary to itself. |
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C. |
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D. |
is complementary to . |
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Hint |
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8. |
If and are vertical angles and and find  |
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A. |
43 |
B. |
72 |
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C. |
23 |
D. |
68 |
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Hint |
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9. |
What is the negation of the conclusion of the following conditional? All birds can fly. |
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A. |
It cannot fly. |
B. |
It can fly. |
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C. |
It is not a bird. |
D. |
It is a bird |
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Hint |
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10. |
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. |
WXYZ has four right angles. |
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B. |
If WXYZ is not a square, then it has four right angles. |
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C. |
If WXYZ is not a square, then it does not have 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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11. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment? |
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A. |
1 and 2 are not congruent. |
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B. |
Both 1 and 2 are obtuse. |
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C. |
1 and 2 are congruent. |
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D. |
1 and 2 both have a measure of 45. |
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Hint |
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12. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, multiplication, and division |
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B. |
addition, subtraction, and multiplication |
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C. |
reflexive, symmetric, and transitive |
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D. |
reflexive, symmetric, and substitution |
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Hint |
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13. |
Which statement is the inverse of the statement angles with the same measure are congruent? |
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A. |
If two angles are not congruent, then they do not have the same measure. |
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B. |
If two angles are congruent, then they have the same measure. |
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C. |
If two angles have the same measure, then they are congruent. |
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D. |
If two angles do not have the same measure, then they are not congruent. |
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Hint |
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14. |
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. |
If two planes intersect, then their intersection is a line. |
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B. |
Through any three points not on the same line, there is exactly one plane. |
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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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15. |
If and lie in plane P. Which of the following postulates can be used to show that lies in plane P? |
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A. |
If two points lie in a plane, then the entire line containing those points lies in that plane. |
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B. |
A plane contains at least three points not on the same line. |
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C. |
Through any two points, there is exactly one line. |
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D. |
If two planes intersect, then their intersection is a line. |
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Hint |
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16. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Whole Segment Postulate |
B. |
Segment Addition Postulate |
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C. |
Ruler Postulate |
D. |
Addition Property of Congruence |
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Hint |
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