1. | One way to show that a statement is NOT a good definition is to find a _____. |
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2. | Rewrite the biconditional as a conditional statement. Then write its converse and determine if the biconditional is an accurate definition.An angle is obtuse if and only if its measure is greater than ninety degrees. |
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3. | Which biconditional is a good definition? |
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4. | Use the Law of Detachment to draw a conclusion.A bisector of a line segment intersects the segment at its midpoint. bisects at D. |
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5. | Which is the Law of Syllogism in symbolic form? |
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6. | Select the appropriate property of equality for the statement a = a. |
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7. | N the figure shown, m∠AED = 97. Which statement is false? |
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8. | Name an angle complementary to ∠COD. |
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9. | If ∠A and ∠B are supplementary angles and m∠A = 4m∠B, find m∠A and m∠B. |
10. | Find the value of the variable. |
11. | Two angles whose sides are opposite rays are called _____. Two coplanar angles with a common side, a common vertex, and no common interior points are called _____. |
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12. | Select the appropriate property of equality for the statement. If a = b, then a • c = b • c. |
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13. | Use the Law of Detachment to draw a conclusion.I will have room for dessert if and only if I do not finish my dinner. I finished my dinner. |
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14. | Use the Law of Syllogism to draw a conclusion.If a substance is water, then its molecular structure is H_{2}O. If a substance has molecular structure H_{2}O, then its boiling point at sea level is 100°C. |
15. | Supply the missing reason and statement in the following proof.Given: m∠1 = m∠3Prove: m∠AFC = m∠DFB |
16. | Which is a counterexample that proves this conditional is false?All prime numbers are odd. |
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17. | Supplementary angles are two angles whose measures have sum _____. Complementary angles are two angles whose measures have sum _____. |
18. | Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the given statements. Franz is taller than Isabel. Isabel is shorter than Ellen. Janina is taller than Franz. |
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19. | Complete the proof.Given: ∠A and ∠B are right angles.Prove: ∠A ≈ ∠BBy the definition of a. _____, m∠A = 90 and m∠B = 90. By the b. _____ Property, m∠A = m∠B or ∠A ≅ ∠B. |
20. | Use the Law of Syllogism to draw a conclusion.If a country's population is more than 1.033 billion, then it has a higher population than India. If a country has a higher population than India, then it is has the highest population in the world. |
21. | Find the value of the variables. |