Chapter 2

Question 1

17 same-side interior angles postulate

Answer 1

if transversal intersects 2 parallel lines, then:
same-side interior angles are supplementary
and add to 180

Question 2

18 alternate interior angles theorem

Answer 2

if transversal intersects 2 parallel lines, then:
alternate interior angles are congruent

Question 3

19 corresponding angles theorem

Answer 3

if transversal intersects 2 parallel lines, then:
the two corresponding angles are congruent

Question 4

20 alternate exterior angles theorem

Answer 4

if transversal intersects 2 parallel lines, then:
alternate exterior angles are congruent

Question 5

21 converse of the corresponding angles theorem

Answer 5

if 2 lines cut by transversal form corresponding angles that are congruent, then lines are parallel

Question 6

23 converse of the (same-side interior angles postulate) theorem

Answer 6

if 2 lines cut by transversal form same-side interior angles are are supplementary, then lines are parallel

Question 7

22 converse of the alternate interior angles theorem

Answer 7

if 2 lines cut by transversal form alternate interior angles that are congruent, then lines are parallel

Question 8

24 converse to the alternate exterior angles theorem

Answer 8

if 2 lines cut by transversal form alternate exterior angles that are congruent, then lines are parallel

Question 9

25 (unamed)
“2 lines are parallel to 3rd”
“transitive property of parallelism”

Answer 9

if 2 lines are paralllel to 3rd, then all 3 lines are parallel

Question 10

26 (unamed)
“if 2 lines perpendicular to 3rd”
“transitive property of parallelism”

Answer 10

if 2 lines perpendicular to 3rd, then both are parallel

Question 11

27 triangle angle sum measures theorem

Answer 11

sum of measures of all interior angles in a triangle is 180

Question 12

28 triangle exterior angles sum theorem

Answer 12

measures of each exterior angle of a triangle equal to sum of 2 remote interior angles

Question 13

29 through a point there is only one line

Answer 13

through a point P in space not on line m, there is only one line possible parallel to m

Question 14

30 parallel & slope

Answer 14

2 non-vertical lines are parallel iff slopes are parallel

Question 15

31 perpendicular lines & slope

Answer 15

2 non-vertical lines are perpendicular if product of slopes = -1

Question 16

31 vertical & perpendicular lines are perpendicular

Answer 16

all vertical lines are perpendicular to all horizontal lines