# Logic and Proof

### Quizzes

1. |
When can you assume angles are vertical in a diagram? -> When they are opposite angles formed by intersecting lines or segments |
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2. |
Which is a pair of vertical angles? -> ∠ |
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3. |
In order use the segment addition postulate to conclude that XY + YZ = XZ, what must we know about points X, Y, and Z? -> ∠XYZ and ∠YZX are complementary |
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4. |
Which is always true of complementary angles ∠X and ∠Y? -> m∠X + m∠Y = 90 |
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5. |
Using the figure below, prove that ∠CME and ∠DMF are congruent.
Which of the following is the best reason for statement 3? -> Definition of angle bisector |
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6. |
Using the figure below, prove that ∠CME and ∠DMF are congruent.
Which of the following is the best reason for statement 4? -> Reflexive property of congruence |
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7. |
Using the figure below, prove that ∠CME and ∠DMF are congruent.
Which of the following is the best reason for statement 5? -> Addition property of equality |
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8. |
Using the figure below, prove that ∠CME and ∠DMF are congruent.
Which of the following is the best reason for statement 6? -> Division property of equality |
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9. |
Using the figure below, prove that ∠CME and ∠DMF are congruent.
Which of the following is the best reason for statement 7? -> Definition of congruence |
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10. |
Using the figure below, prove that ∠CME and ∠DMF are congruent.
Which of the following is the best reason for statement 8? -> Angle addition postulate |