Angle Proofs Reference

Question 1

An angle bisector divides an angle into two equal parts

Answer 1

Definition of angle bisector

Question 2

Complementary <——> sum is 90°

Answer 2

Definition of complementary angles

Question 3

Supplementary <——> sum is 180°

Answer 3

Definition of supplementary angles

Question 4

Perpendicular lines form a right angle

Answer 4

Definition of perpendicular

Question 5

A right angle = 90°

Answer 5

Definition of a right angle

Question 6

If two angles are vertical then they are congruent

Answer 6

Vertical angles theorem

Question 7

If two angles form a right angle then they are complementary (right angle ——> complementary)

Answer 7

Complement theorem

Question 8

If two angles form a linear pair, then they are supplementary (linear pair——> supplementary)

Answer 8

Supplement theorem

Question 9

P^q

Answer 9

Conjunction (and)

Question 10

P(upside down carrot)Q

Answer 10

Disjunction (or)

Question 11

P—>q

Answer 11

Conditional

Question 12

~p—>~q

Answer 12

Inverse

Question 13

Q—>p

Answer 13

Converse

Question 14

~q—>~p

Answer 14

Contrapostitive

Question 15

P<—>q

Answer 15

Bi- conditional