PS1: Proof Justifications

Question 1

symmetric property

Answer 1

if x = 12, then 12 = x

Question 2

transitive property

Answer 2

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

Question 3

reflexive property

Answer 3

ab = ab

introduces new information to talk about

Question 4

properties of equality (operations)

Answer 4

when you perform one of the operations to solve an equation

Question 5

congruent complements theorem

Answer 5

if two angles are complementary to the same angle, then they are congruent

Question 6

congruent supplements theorem

Answer 6

if two angles are supplementary to the same angle, then they are congruent

Question 7

angle addition postulate

Answer 7

parts of an angle added together will always equal the whole angle measure

Question 8

segment addition postulate

Answer 8

parts of a segment added together will always equal the whole segment measure

Question 9

definition of a midpoint

Answer 9

a midpoint is exactly in the middle of a segment

Question 10

definition of a bisector

Answer 10

a bisector cuts an angle exactly in half

Question 11

definition of perpendicular

Answer 11

if 2 lines are perpendicular, they they intersect to create 90 degree angles

Question 12

vertical angles theorem

Answer 12

vertical angles are always congruent

Question 13

linear pair theorem

Answer 13

if 2 angles are a linear pair, they are supplementary

Question 14

definition of congruence

Answer 14

m<1 = m<2 means <1 (congruent symbol) <2

Question 15

complementary angles

Answer 15

if 2 angles are complementary, then they add up to 90 degrees

Question 16

supplementary angles

Answer 16

if 2 angles are supplementary, then they add up to 180 degrees

Question 17

substitution

Answer 17

plugging in one thing for another thing that is equal

Question 18

distributive property

Answer 18

if a(b+c), then ab + ac