Introduction to Proof Answers
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Which are correct statements regarding proofs? Select three options.
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.2
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The last line of a proof represents
A
the given information.B
the argument.C
the conclusion.D
the assumptions.3
Segment AB is congruent to segment AB.
A
reflexiveB
symmetricC
transitiveD
substitution4
If m∠A = m∠B and m∠A + m∠C = m∠D, thenm∠B + m∠C = m∠D.
A
reflexive propertyB
substitution propertyC
symmetric propertyD
transitive property5
Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?
A
DB = BKB
B is the midpoint of AC.C
D bisects AK.D
AK + BK = AC6
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.7
Given that RT ≅ WX, which statement must be true?
A
RT + TW = WX + TWB
RT = 2(RX)C
WX = 2(RX)D
RT + TW = RX8
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.9
A horizontal line has points D, B, C. A line extends vertically from point B to point A.
A
m∠ABD = m∠ABCB
AB ≅ BCC
B is the midpoint of DC.D
m∠DBC = 90°10
Which statement is true about the diagram?
A
K is the midpoint of AB.B
B is the midpoint of KT.C
AK = BTD
AB = KTDid you find these answers helpful?
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