Geometry 2.5-2.6

Question 1

A _____ is a logical argument that uses deductive reasoning to show that a statement is true.

Answer 1

proof

Question 2

A _____ has numbered statements and corresponding reasons that show an argument in a logical order.

Answer 2

two-column proof

Question 3

A _____ is a statement that can be proven.

Answer 3

Theorem

Question 4

_____:

AB = AB

Answer 4

Reflexive property of segment congruence.

Question 5

_____:

If AB = CD then CD = AB

Answer 5

Symmetric property of segment congruence

Question 6

_____:

If AB = CD and CD = EF,

then AB = EF

Answer 6

Transitive property of segment congruence

Question 7

_____:
<A = <A

Answer 7

Reflexive property of angle congruence

Question 8

_____:
If <A = <B, then <B = <A

Answer 8

Symmetric property of angle congruence

Question 9

_____:
If <A = <B and <B = <C, then <A = <C

Answer 9

Transitive property of angle congruence

Question 10

All right angles are congruent.

Answer 10

RIght angles congruence theorem.

Question 11

If 2 angles are supplementary to the same angle (or to congruent angles), then they are congruent.

Answer 11

Congruent supplements theorem.

Question 12

If 2 angles are complementary to the same angle (or to congruent angles), then they are congruent.

Answer 12

Congruent complements theorem

Question 13

If 2 angles form a linear pair, then they are supplementary.

Answer 13

Linear pair postulate

Question 14

Vertical angles are congruent

Answer 14

Vertical angles congruence theorem