Chapter 2 Geometry Flash Cards

Question 1

equilateral triangle

Answer 1

all sides are equal

Question 2

isosceles

Answer 2

at least 2 sides are equal

Question 3

trapezoid

Answer 3

1 pair of parallel sides and 1 pair of non-parrel sides

Question 4

parallelogram

Answer 4

all sides are parallel

Question 5

complementary angles

Answer 5

angles that add up to 90 degrees

Question 6

supplementary angles

Answer 6

angles that add up to 180 degrees

Question 7

conditional statement

Answer 7

p -> q

Question 8

the converse of a conditional statement

Answer 8

q -> p

Question 9

the inverse of a conditional statement

Answer 9

~ p -> ~ q

Question 10

biconditional statement

Answer 10

p <-> q (a way to simplify a conditional statement if both conditional statement and converse are true)

Question 11

the contrapositive of a conditional statement

Answer 11

~ q -> ~p

Question 12

Inductive Reasoning

Answer 12

reasoning based on a pattern (use inductive reasoning to make a conjecture)

Question 13

Deductive Reasoning

Answer 13

reasoning based on facts, definitions, accepted properties, and logic

Question 14

Law of Detachment

Answer 14

if the conditional statement is true and it applies to your statement then the conclusion is true to that statement.

Question 15

Law of Syllogism

Answer 15

if p -> q and q -> r then p -> r

Question 16

2 point postulate

Answer 16

through any 2 points lies exactly one line

Question 17

Line Intersection postulate

Answer 17

When two lines intersect there is exactly one point

Question 18

Line-point postulate

Answer 18

any line has at least 2 points

Question 19

Three point Postulate

Answer 19

Through any 3 noncollinear points, there exists exactly one plane.

Question 20

Plane-Point Postulate

Answer 20

A plane contains at least 3 noncollinear points

Question 21

Plane-Line Postulate

Answer 21

If two points lie in a plane then the line that goes through them must also lie on the same plane

Question 22

Plane Intersection Postulate

Answer 22

There is exactly one line where two planes intersect

Question 23

Commutative Porperty of addition

Answer 23

a + b = b + a

Question 24

Commutative Property of Multiplication

Answer 24

a x b = b x a

Question 25

Associative Property of Addition

Answer 25

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

Question 26

Associative Property of Multiplication

Answer 26

a(b x c) = (a x b)c

Question 27

Distributive property

Answer 27

a(b x c) = a x b + a x c

Question 28

Identity Property of Addition

Answer 28

a + 0 = a

Question 29

Identity Property of Multiplication

Answer 29

a x 1 = a

Question 30

Additive Inverse Property

Answer 30

a + (-a) = 0

Question 30

Multiplicative Inverse Property

Answer 30

a (1/a) = 1

Question 31

Property of Zero

Answer 31

a x 0 = 0

Question 32

Reflexive proprty

Answer 32

a = a

Question 33

Symmetric Property

Answer 33

a = b, then b = a

Question 34

Transitive Property

Answer 34

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

Question 35

Substitution Property

Answer 35

If a =b, then b can replace any a in any expression

Question 36

The Distributive Property

Answer 36

a (b + c ) = ab + ac