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Geometry Ch. 2 Of Prentice Hall

21 Questions  I  By Tdas2002
Segment AB
Geometry Ch. 2 of Prentice Hall
conditionals, biconditionals
counter examples

  
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Question Excerpt

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1.  One way to show that a statement is NOT a good definition is to find a _____.
A.
B.
C.
D.
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.
B.
3.  Which biconditional is a good definition?
A.
B.
C.
D.
4.  Use the Law of Detachment to draw a conclusion.A bisector of a line segment intersects the segment at its midpoint. Segment AB bisects Segment CE at D.
A.
B.
C.
D.
5.  Which is the Law of Syllogism in symbolic form?
A.
B.
C.
D.
6.  Select the appropriate property of equality for the statement a = a.
A.
B.
C.
D.
7.  N the figure shown, m∠AED = 97. Which statement is false?Graph
A.
B.
C.
D.
8.  Name an angle complementary to ∠COD.Graph
A.
B.
C.
D.
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.Graph
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 _____.
A.
B.
C.
D.
12.  Select the appropriate property of equality for the statement. If a = b, then a • c = b • c.
A.
B.
C.
D.
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.
B.
C.
D.
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∠DFBGraphTable
16.  Which is a counterexample that proves this conditional is false?All prime numbers are odd.
A.
B.
C.
D.
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.
B.
C.
D.
19.  Complete the proof.Given: ∠A and ∠B are right angles.Prove: ∠A ≈ ∠BGraphBy 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.Graph
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