AnswersAISD Geometry A Credit Recovery 2026-2027Applications of Slope and the Distance Formula

Introduction to Proof Answers

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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
2
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4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.

Question illustration
A
∠BEA ≅ ∠CEA
B
∠CEB ≅ ∠CEA
C
m∠CEB = 45°
D
m∠CEA = 45°
3

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
4

[BLANK]

A
segment addition property
B
angle addition postulate
C
reflexive property
D
transitive property
5

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
6

The last line of a proof represents

A
the given information.
B
the argument.
C
the conclusion.
D
the assumptions.
7

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°
8

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
9

Segment AB is congruent to segment AB.

A
reflexive
B
symmetric
C
transitive
D
substitution
10

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.

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Introduction to Proof Answers — AISD Geometry A…