Algebraic Proofs Vocab

Question 1

a detailed explanation of why something is true

Answer 1

proof

Question 2

a type of proof with two colummns: statements and reasons

Answer 2

two-column proof

Question 3

information you are saying is true

Answer 3

statements

Question 4

explanation of why the statement is true

Answer 4

reasons

Question 5

the information you know to be true

Answer 5

given

Question 6

the information you are trying to prove

Answer 6

prove

Question 7

you can add a number to both sides of an equation

Answer 7

addition property equality

Question 8

you can subtract a number from both sides of an equation

Answer 8

subtraction property equality

Question 9

you can multiply both sides of an equation by the same number

Answer 9

multiplication property equality

Question 10

you can divide both sides of an equation by the same number

Answer 10

division property equality

Question 11

you can distribute a number within parenthesis

Answer 11

distributive property equality

Question 12

a number or variable equals itself

Answer 12

reflexive property equality

Question 13

if a = b and b = c then a = c

Answer 13

transitive property equality

Question 14

if a = b then b = a

Answer 14

symmetric property equality

Question 15

if a = b then i can replace a with b

Answer 15

substitution property equality

Question 16

AB ≅ AB

Answer 16

Reflexive property of congruence

Question 17

If A ≅ B then B ≅ A

Answer 17

Symmetric property of congruence

Question 18

If AB ≅ CD and CD ≅ EF then AB ≅ EF

Answer 18

Transitive property of congruence

Question 19

In a diagram you can assume … and … angles and you can assume …, …,and … pairs

Answer 19

adjacent and vertical angles
linear, collinear, and opposite rays

Question 20

In a diagram you cannot assume … and … measure and you cannot assume … and … lines

Answer 20

segment and angle measure
parallel and perpendicular lines