Introduction to Proof Answers

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2
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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
3

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.
4

The last line of a proof represents

A
the given information.
B
the argument.
C
the conclusion.
D
the assumptions.
5

A horizontal line has points D, B, C. A line extends vertically from point B to point A.

Question illustration
A
m∠ABD = m∠ABC
B
AB ≅ BC
C
B is the midpoint of DC.
D
m∠DBC = 90°
6

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
7

Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?

Question illustration
A
DB = BK
B
B is the midpoint of AC.
C
D bisects AK.
D
AK + BK = AC
9

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
11

Segment AB is congruent to segment AB.

A
reflexive
B
symmetric
C
transitive
D
substitution
12

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.
13

A horizontal line has points D, B, C. A line extends vertically from point B to point A.

Question illustration
A
m∠ABD = m∠ABC
B
AB ≅ BC
C
B is the midpoint of DC.
D
m∠DBC = 90°
14

Which statement is true about the given information?

Question illustration
A
BD = BC
Option A
B
BC = BE
Option B
C
BD ≅ CE
D
BC ≅ BD
15

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.
16

[BLANK]

A
segment addition property
B
angle addition postulate
C
reflexive property
D
transitive property
17

A flow chart has 4 boxes. The top box is labeled given and contains angle A is-congruent-to angle B, angle C is congruent to angle B. The second box is labeled symmetric property and contains angle B is-congruent-to angle C. The third box is labeled question mark and contains angle A is congruent to angle C. The fourth box is labeled definition of congruent to angle x and contains m angle A = m angle C.

Question illustration
A
transitive property
B
reflexive property
C
symmetric property
D
substitution property

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