interim 2.1 - 2.4

Question 1

conditional

Answer 1

if p, then q

p: hypothesis
q: conclusion

Question 2

converse

Answer 2

if q, then p

Question 3

counterexample

Answer 3

disproves a statement

Question 4

are conditionals always written with the if clause first?

Answer 4

no

Question 5

biconditional

Answer 5

p if and only if q

Question 6

inverse

Answer 6

if not p, then not q

Question 7

contrapositive

Answer 7

if not q, then not p

Question 8

addition property of equality

Answer 8

if a = b and c = d then a + c = b + d

add same thing to each side

Question 9

subtraction property of equality

Answer 9

if a = b and c = d then a - c = b - d

subtract same thing from both sides

Question 10

multiplication property of equality

Answer 10

if a = b then ca = cb

multiply the same thing on each side

Question 11

division property of equality

Answer 11

a = b and c does not equal 0 then a/c = b/c

divide the same thing on each side

Question 12

substitution property of equality

Answer 12

if a = b then either a or b may be substituted for the other in any equation

Question 13

reflexive property of equality

Answer 13

a = a

Question 14

symmetric property of equality

Answer 14

if a = b then b = a

Question 15

transitive property of equality

Answer 15

if a = b and b = c then a = c

Question 16

two column proof

Answer 16

reasons and statements

Question 17

segment addition postulate

Answer 17

if B is between A and C, then AB + BC = AC

Question 18

angle addition postulate

Answer 18

if B lies in the interior of

Question 19

linear pairs property

Answer 19

if two angles form a linear pair, then their sum is 180.

Question 20

through any two points there is ______

Answer 20

exactly one line

Question 21

definition of congruence

Answer 21

two figures are congruent if and only if they have the same measure

Question 22

definition of a midpoint

Answer 22

a point is a midpoint if and only if it divides a segment into two congruent segments

Question 23

definition of a segment bisector

Answer 23

a line, a ray, or a segment is a segment bisector if and only if it intersects a segment at its midpoint

Question 24

definition of an angle bisector

Answer 24

a ray or a line is an angle bisector if and only if it divides the angle into two congruent adjacent angles

Question 25

midpoint theorem

Answer 25

if M is the midpoint of segment AB then AM = 1/2AB and MB = 1/2AB

Question 26

angle bisector theorem

Answer 26

if ray OB bisects

Question 27

complementary angles

Answer 27

2 angles whose sum is 90

Question 28

supplementary angles

Answer 28

2 angles whose sum is 180

Question 29

linear pairs

Answer 29

two adjacent angles whose exterior sides are opposite rays

Question 30

vertical angles

Answer 30

the same vertex, both sides make opposite rays with each other, NOT adjacent

Question 31

theorem 2-3 vertical angles are ______

Answer 31

congruent