Geomentry Unit 1

Question 1

Induction

Answer 1

A way of thinking that uses observations and experiences to form rules

Question 2

Conjecture

Answer 2

A statement that appears to be correct based on observations, but is not proved true. Can not use in proofs unless proven. Conclusions could be false.

Question 3

Conditional statement

Answer 3

if A then B statement, A is assumed and B is the conclusion. Must assume is true.

Question 4

Deduction

Answer 4

A way of thinking that starts with rules, and then figure out what must be true based on what is given. Conclusions are always true.

Question 5

Venn Diagram

Answer 5

In a venn diagram the if part of the sentence is in the small circle and the big part is for the then part of the statement.

Question 6

negate

Answer 6

make negetive

Question 7

converse

Answer 7

• flip
  -if B then A

Question 8

Inverse

Answer 8

• make negetive
• If not A, then not B

Question 9

Contrapositive

Answer 9

-Make negetive and flip
- If not B, then not A

Question 10

symbol for Contrapositive and inverse

Answer 10

L upside down and backwards. hook

Question 11

Biconditional statement

Answer 11

If a conditional statemant and its converse is true then its a biconditional statement. if and only if statement

Question 12

Syllogiism

Answer 12

if A then B
If B then C
so If A then C

Question 13

postulate / axiom

Answer 13

a statemet that is assumed to be true without proof . Like a rule. Accepted as true.

Question 14

common notion

Answer 14

A thing that is not officially defined but understood by common sense

Question 15

Undefined term

Answer 15

Basic terms in geomentry : point, line, plane

Question 16

other types of proofs

Answer 16

proof by contradictionor indirect proof - assumeing the opposite of what is given . If A then not B

flowchart proof

Question 17

theoems

Answer 17

A statement that has already been proven to be true. Can be used in proofs.

Question 18

Corollay

Answer 18

A statement that naturally follows or makes sense based on something already proved. Depends on theorems. Must be proven

Question 19

What can be used in proofs after proven?

Answer 19

Postulates, Axioms, Theorms, corollaries.

Question 20

Point

Answer 20

has not length, width, or height

Question 21

line segement

Answer 21

2 points connected together by lines. Has a length. Does NOT extend on forever

Question 22

midpoint

Answer 22

the point halfway between the endpoints of a line segement.

Question 23

Ray

Answer 23

A part of a line that starts at an endpoint and extedns on forvermever. Has length

Question 24

Line

Answer 24

has a lenght extends on foever

Question 25

what has infinate lenght?

Answer 25

ray and line

Question 26

angle bisector

Answer 26

a ray that divded an anle into 2 angles

Question 27

supplemntayr

Answer 27

180

Question 28

complementary

Answer 28

90

Question 29

0 dimensonal

Answer 29

has no lenght, width, or height, a point

Question 30

1 d

Answer 30

has lenght segments, rays, lines

Question 31

collinear

Answer 31

when 2 or more points lie on the same line

Question 32

Unque line assumtion

Answer 32

through any 2 points there is exactly one line

Question 33

2d

Answer 33

has lenght and width triangle, recatngle , square, etc

Question 34

plane/ coplanar

Answer 34

infinte 2d surface. Coplanr meas to be on the same plane

Question 35

geometric pspace

Answer 35

ifnate 3d, all objects there

Question 36

vertical angles

Answer 36

a pair of opposite angles formed by interseciting lines. has equal measure.

Question 37

perpendicualr bisector

Answer 37

a line that cuts a line segemtn at a right angle

Question 38

skew lines

Answer 38

lines that re not on the smae plane. do not intersect and is not parrell