Gemoetry Chapter 2

Front 1

Conditional Statement

Back 1

an if(hypothesis) and then(conclusion) statement

Front 2

Theorem

Back 2

is a conditional statement that is proven with an indirect and direct proof

Front 3

Syllogism

Back 3

takes 2 conditional statements and concluldes with the third. The conclusion is the hypothese of the other
a-->b b-->c c-->d a-->d

Front 4

Definition

Back 4

is an if and then statement

Front 5

CONTRADICTION

Back 5

use an indirect proof to prove the oppisote of the assumption

Front 6

euler diagram

Back 6

visual representation of the conditional statements

Front 7

premises

Back 7

peices of the direct proof not including the conclusion. a-->b b-->c c-->d

Front 8

conclusion

Back 8

then part of a conditional statement. Resulting from a sullogism or a direct proof

Front 9

hypothese

Back 9

the if part of a conditional statement

Front 10

postulate

Back 10

a statment you assume is true

Front 11

converse

Back 11

if a then b because if b the a

Front 12

indirect proof

Back 12

assuming the oppisote of what is to be proven and the converse and conclusion

Front 13

iff

Back 13

if and only if statment
a<->b
a->b
b->a

Front 14

direct proof

Back 14

an oversized syllogism
a-->b
b-->c
c-->d
a-->d

Front 15

postulates

Back 15

-two points determine a line
-3 non-collinear points determine a plane.

Front 16

theroms

Back 16

-the square of the hyptenuse of a right triangle is equal to the sum of the squares of the other two sides
-the sum of the angles of a triangle is 180
-if the diameter of a circle is, its circumference is nd
-if the radius of a circle is r its area is nr2