AnswersMathematics IIntroduction to Proof

Introduction to Proof — Quiz Answers

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1
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Given that D is the midpoint of AB― and K is the midpoint of BC―, which statement must be true? Open image in full-screen view

A
cap b is the midpoint of line segment AC .
B
cap d bisects line segment AK .
C
DB is equal to BK
D
AK plus BK is equal to AC
2
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Which statement is true about the given information? Open image in full-screen view

A
BD is equal to 1 half BC
B
line segment BD is congruent to line segment CE
C
BC is equal to 1 half BE
D
line segment BC is congruent to line segment BD
3

A two-column proof

A
uses inductive reasoning to prove a statement.
B
contains a set of sentences explaining the steps needed to reach a conclusion.
C
contains a table with a logical series of statements and reasons that reach a conclusion.
D
uses a visual representation of the logical flow of steps needed to reach a conclusion.
4

Given that line segment RT is congruent to line segment WX , which statement must be true?

A
RT plus TW is equal to RX
B
RT is equal to 2 times RX
C
WX is equal to 2 times RX
D
RT plus TW is equal to WX plus TW
5

The last line of a proof represents

A
the assumptions.
B
the given information.
C
the conclusion.
D
the argument.
6

A paragraph proof

A
uses a visual chart of the logical flow of steps needed to reach a conclusion.
B
contains a table with a logical series of statements and reasons.
C
contains a set of sentences explaining the steps needed to reach a conclusion.
D
uses inductive reasoning to prove a statement.
7

If m∠A=m∠B and m∠A+m∠C=m∠D, then m∠B+m∠C=m∠D. Which property is shown?

A
symmetric property
B
substitution property
C
reflexive property
D
transitive property
8

Which statement is true about the diagram? Open image in full-screen view

A
cap b is the midpoint of line segment KT .
B
AK is equal to BT
C
cap k is the midpoint of line segment AB .
D
AB is equal to KT
9

Which are correct statements regarding proofs? Choose three correct answers.

A
A two-column proof lists only the given information and what is to be proven.
B
A flowchart proof gives a visual representation of the sequence of steps without justifications.
C
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
D
A two-column proof consists of a list statements and the reasons the statements are true.
E
A flowchart proof is a visual way of describing the statements and reasons for a proof.

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