Answers2627 GEOMETRY AIntroduction to Proof

Introduction to Proof Answers

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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.
2
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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
3

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.
5

Given that RT ≅ WX, which statement must be true?

A
RT + TW = WX + TW
B
RT = 2(RX)
C
WX = 2(RX)
D
RT + TW = RX
7

Segment AB is congruent to segment AB.

A
reflexive
B
symmetric
C
transitive
D
substitution
9

A paragraph proof

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

segment addition propertyangle addition postulatereflexive propertytransitive property

A
segment addition property
B
angle addition postulate
C
reflexive property
D
transitive property

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Introduction to Proof Answers — 2627 GEOMETRY A