Chapter 2 test

Question 1

Conjecture

Answer 1

A claim using logic about a patter or sequence

Question 2

Counterexample

Answer 2

One fact hat makes a conjecture false

Question 3

Statement

Answer 3

Mathematical statement that has a definite truth value

Question 4

Negation

Answer 4

Noted as the ~ symbol and means not

Question 5

Conjunction

Answer 5

Statements joined by using the word AND
the symbol for it is ^

Question 6

Disjunction

Answer 6

Statements joined but using the word OR
They symbol is ∨

Question 7

Conditional

Answer 7

p → q

Question 8

Inverse

Answer 8

~p → ~q

Question 9

Converse

Answer 9

q → p

Question 10

Contrapositive

Answer 10

~q → ~p

Question 11

Biconditional

Answer 11

p ←→ q

Question 12

Addition Property

Answer 12

If a = b, the a + c = b + c

Question 13

Subtraction Property

Answer 13

If a = b, then a - c = b - c

Question 14

Multiplication Property

Answer 14

If a = b, then a * c = b * c

Question 15

Division Property

Answer 15

If a = b, then a/c =b/c

Question 16

Distributive Property

Answer 16

a (b + c) = a * b + a * c

Question 17

Substitution Property

Answer 17

If a =b, then a may be substituted or replaced by b in any expression or equation

Question 18

Reflexive Property

Answer 18

For any real number a, a = a (a value will always equal itself)

Question 19

Symmetric Property

Answer 19

If a = b, then b = a

Question 20

Transitive Property

Answer 20

If a = b and b = c, then a = c

Question 21

When using the congruent symbol, the following properties can be applied

Answer 21

Reflexive property of congruence
symmetric property of congruence
transitive property of congruence

Question 22

Definition of Congruence

Answer 22

Two figures or objects are congruent if they have the same shape and size

Question 23

Definition of A Midpoint

Answer 23

A point that divides the line segment into two equal halves

Question 24

Segment Addition Postulate

Answer 24

The length of a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments

Question 25

Def. of A Right Angle

Answer 25

An angle measure to be 90°

Question 26

Def. of Complimentary Angles

Answer 26

The sum of two angles is 90°

Question 27

Def. of Supplementary Angles

Answer 27

the sum of two angles is 180°

Question 28

Def. of Angle Bisector

Answer 28

An angle bisector divides and angle into two equal parts

Question 29

Def. of Perpendicular

Answer 29

Perpendicular lines form right angles

Question 30

Angle Addition Postulate

Answer 30

The sum of two angle measures that are joined by a common ray will be equal to the measure of the angle they form.