Introduction to Proof Answers

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segment addition propertyangle addition postulatereflexive propertytransitive property

A
segment addition property
B
angle addition postulate
C
reflexive property
D
transitive property
2
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Which statement is true about the diagram?

Question illustration
A
K is the midpoint of AB.
B
B is the midpoint of KT.
C
AK = BT
D
AB = KT
3

If m∠A = m∠B and m∠A + m∠C = m∠D, thenm∠B + m∠C = m∠D.

A
reflexive property
B
substitution property
C
symmetric property
D
transitive property
5

Segment AB is congruent to segment AB.

A
reflexive
B
symmetric
C
transitive
D
substitution
8

The last line of a proof represents

A
the given information.
B
the argument.
C
the conclusion.
D
the assumptions.
9

A two-column proof

A
uses a visual representation of the logical flow of steps needed to reach a conclusion.
B
contains a table with a logical series of statements and reasons that reach a conclusion.
C
contains a set of sentences explaining the steps needed to reach a conclusion.
D
uses inductive reasoning to prove a statement.
10

Which are correct statements regarding proofs? Select three options.In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications.A flowchart proof is a visual way of describing the statements and reasons for a proof.A two-column proof lists only the given information and what is to be proven.

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

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