chapter 3

Question 1

parallel lines

Answer 1

two lines are parallel if they are coplanar and do not intersect

Question 2

intersecting lines

Answer 2

intersecting lines are coplanar and have exactly one point in common

Question 3

oblique lines

Answer 3

lines are oblique if they intersect and do not form a right angle

Question 4

skew lines

Answer 4

two lines are skew if they do not lie in the same plane

Question 5

thm 3.1: transitive property of parallel lines

Answer 5

if 2 lines are parallel to the same line, then they are parallel to each other.

Question 6

thm 3.2: property of perpendicular lines

Answer 6

if two coplanar lines are perpendicular to the same line, then they are parallel to each other

Question 7

thm 3.4

Answer 7

all right angles are congruent

Question 8

thm 3.3

Answer 8

if two lines are perpendicular, then they intersect to form 4 right angles

Question 9

thm 3.5

Answer 9

if 2 lines intersect to form a pair of adjacent congruent angles, then the two lines are perpendicular

Question 10

transversal

Answer 10

a transversal is a line that intersects two or more coplanar lines at different points

Question 11

corresponding angles

Answer 11

2 angles are corresponding angles if they occupy corresponding positions,

Question 12

alternate interior angles

Answer 12

2 angles are alternate interior angles if they lie between (cursive) l and m on opposite sides of t.

Question 13

alternate exterior angles

Answer 13

2 angles are alternate exterior angles if they lie outside (cursive) l and m on opposite sides of t.

Question 14

consecutive interior angles

Answer 14

2 angles are consecutive interior angles if they lie between (cursive) l and m on the same side of t

Question 15

corresponding angles postulate

Answer 15

if 2 parallel lines are cut by transversal, then the pairs of corresponding angles are congruent

Question 16

alternate interior angles theorum

Answer 16

if 2 parallel lines are cut by a transversal, then the pairs of alt. int. angles are congruent.

Question 17

consecutive interior angles theorum

Answer 17

if two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Question 18

alternate exterior angles theorum

Answer 18

if 2 parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

Question 19

perpendicular transversal theorum

Answer 19

if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second.

Question 20

Postulate 12

Answer 20

if two distinct lines intersect, then their intersection is exactly 1 point

Question 21

Parallel postulate

Answer 21

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

Question 22

Perpendicular postulate

Answer 22

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 23

Corresponding angles converse postulate

Answer 23

if two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

Question 24

alt. int. angles converse thm.

Answer 24

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

Question 25

consec. int. angles converse thm.

Answer 25

if 2 lines are cut by a transversal so that consec. int. angles are suppl., then the lines are parallel.

Question 26

alt. ext. angles coverse thm.

Answer 26

if 2 lines are cut by a transversal so that alt. ext. angles are congruent, then the lines are parallel.