Assignment Check #9

p. 114: 23 – 28

1 4, 3 4 Given1 3 Transitive prop. congruence

1 3m m Definition of congruence

3 120m Given

5. 5. 1 120m Transitive prop. Equality/Substitution

1 2 90m m Given1 and 2 are complementary Definition of complementary angles

Given

1 3 Congruent Complements Theorem

3 and 2 are complementary

QVW and RWV are

supplementary

Given

Definition of linear pair

Linear pair postulate

QVP RWV Congruent supplements theorem

QVP and QVW are

a linear pair

QVP and QVW are

supplementary

5 6 Given4 5, 6 7 Vertical angles congruence thm

4 6 Transitive prop of congruence

4 7 Transitive prop of congruence

4 10 13 180w w

Linear pair postulate tells us that a linear pair sums to 180 degrees

10w

2 25 2 30 180x x

Linear pair postulate tells us that a linear pair sums to 180 degrees

40x

3 4 35y y

Vertical angle congruence theorem states that vertical angles are congruent. This means that they have the same angle measure.

35y

3 6 7 10 45z z

Vertical angle congruence theorem states that vertical angles are congruent. This means that they have the same angle measure.

3z