# Geometry Ch. 2 Of Prentice Hall

21 Questions  Settings  Geometry Ch. 2 of Prentice Hallconditionals, biconditionalscounter examples

Related Topics
• 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.
• 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.

D is the midpoint of Segment CE.

• B.

D is the midpoint of Segment AB.

• C.

Segment AB is perpendicular to Segment CE.

• D.

Segment AB has the same length as 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.
• 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 _____.
• A.

• B.

• C.

• 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.
• 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.