proving parallel lines cut by a transversal

Question 1

are coplanar lines or lines which lie on the same plane that do not
intersect each other.

Answer 1

parallel lines

Question 2

a line that intersects two or more
coplanar lines at two or more
distinct points.

Answer 2

transversal lines

Question 3

two nonadjacent angles,
one interior,and one
exterior on the same
side of the transversal

Answer 3

corresponding angles

Question 4

two non adjacent interior
angles on opposite sides
of the transversal

Answer 4

alternate interior angles

Question 5

two non adjacent exterior
angles on opposite sides
of a transversal

Answer 5

alternate exterior angles

Question 6

angles that lie between
the two parallel lines on the
same side of the transversal

Answer 6

same side interior angles

Question 7

angles that lie outside
the two parallel lines on the
same side of the transversal

Answer 7

same side exterior angles

Question 8

is a pair of angles formed when two lines intersect each other at a single points. These angles are always adjacent and supplementary as they form on a straight line.

Answer 8

linear pair

Question 9

When two straight lines
intersect each other

Answer 9

vertical angles

Question 10

Vertical angles
are always _________ and ___________

Answer 10

equal and congruent

Question 11

postulate 15 If two lines are cut by a transversal, then any pair of alternate interior angles are congruent.

Answer 11

Parallel-Alternate Interior Angle Postulate

Question 12

theorem 41 If two lines are cut by a transversal, then any pair of alternate exterior
angles are congruent.

Answer 12

Parallel-Alternate Exterior Angle Theorem

Question 13

theorem 42 If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Answer 13

Parallel-Corresponding Angles Theorem

Question 14

Theorem 43 If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are supplementary.

Answer 14

Parallel-Interior Angles Same Side Theorem

Question 15

theorem 44 If two parallel lines are cut by a
transversal, then the exterior angles on the same side of the transversal are supplementary.

Answer 15

Parallel-Exterior Angle Same Side Theorem

Question 16

theorem 46 If two lines are cut by a transversal
and a pair of alternate exterior
angles are congruent, then the lines are parallel.

Answer 16

Alternate exterior Angle-
Parallel Postulate

Question 17

postulate 16 If two lines are cut by a transversal
and a pair of alternate interior
angles are congruent, then the lines
are parallel.

Answer 17

Alternate Interior Angle-
Parallel Postulate

Question 18

theorem 47 If two lines are cut by a transversal
and a pair of corresponding angles
are congruent, then the lines are
parallel.

Answer 18

Corresponding Angles-
Parallel Theorem

Question 19

theorem 48 If two lines are cut by a transversal
so that the interior angles on the
same side of the transversal are
supplementary, then the lines are
parallel.

Answer 19

Interior Angles Same Side-
Parallel Theorem

Question 20

What angles were formed in the
intersection of parallel lines and a
transversal line?

Answer 20

Corresponding Angles,
Alternate Interior Angles,
Alternate Exterior Angles ,
Same Side Interior Angles, and
Same Side Exterior Angles

Question 21

What are the postulates and theorems that
state the relationships between pairs of angles
formed by parallel lines cut by transversal?

Answer 21

Parallel-Alternate Interior Angle Postulate,
Parallel-Alternate Exterior Angle Theorem,
Parallel-Corresponding Angles Theorem,
Parallel-Interior Angles-Same Side
Theorem, and
Parallel-Exterior Angle-Same Side
Theorem

Question 22

What are the converse postulates and
theorems that can be used to prove that the
lines given are parallel?

Answer 22

Alternate Interior Angle-Parallel Postulate,
Alternate Exterior Angles-Parallel
Theorem,
Corresponding Angles-Parallel Theorem,
and
Interior Angles Same Side-Parallel
Theorem