# Geometry Ch. 2 Of Prentice Hall

21 Questions  I  By Tdas2002
Geometry Ch. 2 of Prentice Hallconditionals, biconditionalscounter examples

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 1 One way to show that a statement is NOT a good definition is to find a _____.
 A. Biconditional
 B. Conditional
 C. Converse
 D. Counterexample
 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.
 A. Yes, it is an accurate definition.
 B. No, it is not an accurate definition.
 3 Which biconditional is a good definition?
 A. Two angles are adjacent if and only if they share a common side.
 B. A point is the midpoint of a segment if and only if it is between the endpoints of the segment.
 C. Two angles are supplementary if and only if they form a linear pair.
 D. Two lines are parallel if and only if they never intersect.
 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.
 A. Segment AB has the same length as Segment CE.
 B. D is the midpoint of Segment CE.
 C. D is the midpoint of Segment AB.
 D. Segment AB is perpendicular to Segment CE.
 5 Which is the Law of Syllogism in symbolic form?
 A. If p → q and q → r are true statements, then p → r is a true statement.
 B. If p → q is a true statement and p is true, then q is true.
 C. If p → q is a false statement and p is false, then q is false.
 D. If p → q and q → r are false statements, then p → r is a false statement.
 6 Select the appropriate property of equality for the statement a = a.
 B. Reflexive Property
 C. Substitution Property
 D. Transitive Property
 7 N the figure shown, m∠AED = 97. Which statement is false?
 A. M∠AEB = 83
 B. M∠BEC = 97
 C. ∠AEB and m∠DEC are congruent angles.
 D. # ∠BEC and m∠CED are vertical angles.
 8 Name an angle complementary to ∠COD.
 A. ∠AOC
 B. ∠BOC
 C. ∠AOE
 D. ∠DOE
 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 _____.
 D. Vertical angles; supplementary angles
 12 Select the appropriate property of equality for the statement. If a = b, then a • c = b • c.
 A. Symmetric Property
 B. Substitution Property
 C. Multiplication Property
 D. Reflexive Property
 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.
 A. I do not have room for dessert.
 B. I did not finish my dinner.
 C. I had macaroni and cheese for dinner.
 D. No conclusion possible
 14 Use the Law of Syllogism to draw a conclusion.If a substance is water, then its molecular structure is H2O. If a substance has molecular structure H2O, 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.
 A. 14
 B. 10
 C. 7
 D. 2
 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.
 A. Janina is shortest.
 B. Janina is taller than Isabel.
 C. Franz is the tallest.
 D. Ellen is shorter than Isabel.
 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.
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