Postulates & Theorems - chapter 3

Question 1

CORRESPONDING ANGLES POSTULATE: If 2 parallel lines are cut by a transversal, then the pairs of corresponding angles are ….

Answer 1

congruent. (post. 3-2-1)

Question 2

ALTERNATE INTERIOR ANGLES THEOREM: If 2 parallel lines are cut by a transversal, then the pairs of alternate interior angles are ….

Answer 2

congruent. (theo. 3-2-2)

Question 3

ALTERNATE EXTERIOR ANGLES THEOREM: If 2 parallel lines are cut by a transversal, then the two pairs of alternate interior angles are ….

Answer 3

congruent. (theo. 3-2-3)

Question 4

SAME-SIDE INTERIOR ANGLES THEOREM: If 2 parallel lines are cut by a transversal, then the two pairs of same-side interior angles are ….

Answer 4

supplementary. (theo. 3-2-4)

Question 5

CONVERSE OF CORRESPONDING ANGLES POSTULATE: If 2 coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the 2 lines are ….

Answer 5

parallel. (post. 3-3-1)

Question 6

PARALLEL POSTULATE: Through a point P not on line l, there is ….

Answer 6

exactly 1 line parallel to l. (post. 3-3-2)

Question 7

CONVERSE OF ALTERNATE INTERIOR ANGLES THEOREM: If 2 coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the 2 lines are ….

Answer 7

parallel. (theo. 3-3-3)

Question 8

CONVERSE OF ALTERNATE EXTERIOR ANGLES THEOREM: If 2 coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the 2 lines are ….

Answer 8

parallel. (theo. 3-3-4)

Question 9

CONVERSE OF SAME-SIDE INTERIOR ANGLES THEOREM: If 2 coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the 2 lines are ….

Answer 9

parallel. (theo. 3-3-5)

Question 10

If 2 intersecting lines form a linear pair of congruent angles, then the lines are ….

Answer 10

perpendicular. (theo. 3-4-1)

Question 11

PERPENDICULAR TRANSVERSAL THEOREM: In a plane, if a transversal is perpendicular to one of two parallel lines, then it is ….

Answer 11

perpendicular to the other line also. (theo. 3-4-2)

Question 12

If 2 coplanar lines are perpendicular to the same line, then ….

Answer 12

the 2 lines are parallel to each other. (theo. 3-4-3)

Question 13

PARALLEL LINES THEOREM: In a coordinate plane, 2 nonvertical lines are parallel if and only if they have ….

Answer 13

the same slope. (theo. 3-5-1)

Question 14

PERPENDICULAR LINES THEOREM: In a coordinate plane, 2 nonvertical lines are perpendicular if and only if ….

Answer 14

the product of their slopes is -1. (theo. 3-5-2)