13-16 Post. Ch 3 Theorems And Definitions

Question 1

Alternate interior angles theorem

Answer 1

If two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent

Question 2

Alternate exterior angles theorem

Answer 2

If two parallel lines are cut by a transversal then the pairs of alternate exterior angles are congruent

Question 3

Consecutive interior angles theorem

Answer 3

If two parallel lines are cut by a transversal then the pairs of consecutive interior angles are supplementary
( inside ones, same side, adding to 180)

Question 4

Parallel postulate

Answer 4

If there is a line and a point not on the line then there is exactly one line through the point parallel to the given line

Question 5

Perpendicular postulate

Answer 5

If there is a line and a point not on the line then there is exactly one line through the point perpendicular to the given line

Question 6

Corresponding angles

Answer 6

Two angles are corresponding angles if they have corresponding positions

Question 7

Alternate interior angles

Answer 7

Two angles are alternate interior angles if they lie between the two lines and opposite sides of the transversal

Question 8

Alternate exterior angles

Answer 8

Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal

Question 9

Consecutive interior angles

Answer 9

If they lie between two lines and on the same side of the transversal

Question 10

Corresponding angles converse postulate

Answer 10

If two lines are cut by a transversal so the corresponding angles are congruent then the lines are parallel

Question 11

Alternate interior angles converse theorem

Answer 11

If two lines are cut by a transversal so the alternate interior angles are congruent then the lines are parallel

Question 12

Alternate exterior angles converse theorem

Answer 12

If two lines are cut by a transversal so the alternate exterior angles are congruent then the lines are parallel

Question 13

Consecutive interior angles converse theorem

Answer 13

If two lines are cut by a transversal so the consecutive interior angles are supplementary them the lines are parallel

Question 14

Corresponding angles postulate

Answer 14

If two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent