Geometry Flash Cards 1

Front 1

Hypothesis and Conclusion

Back 1

An if-then statement that is used to show an outcome or answer to a question or problem.

If there is a cat in the middle of the road(hypothesis), then it will get run over(conclusion).

Front 2

Conditional

Back 2

A logical statement that has two parts, a hypothesis and a conclusion and can be true of false.

If it is raining, then there are clouds in the sky.

Front 3

Converse

Back 3

To write in converse form, swap the hypothesis and conclusion

If you play guitar, then you're a musician(regular)

If you're a musician, then you play the guitar(Converse)

Front 4

Inverse

Back 4

The negation of both the hypothesis and the conclusion

If you play guitar, then you're a musician(regular)

If you're not a guitar player, then you're not a musician(Inverse)

Front 5

Contrapositive

Back 5

First write the converse and negate both the hypothesis and conclusion.

If you play guitar, then you're a musician(regular)

If you're not a musician, then you don't play guitar

Front 6

Bi-Conditional

Back 6

A statement that uses the phrase "if and only if"

If two lines intersect to form a right angle, then they're perpendicular(regular)

Two lines are perpendicular if and only if they intersect to form a right angle.(bi-conditional)

Front 7

Law of Detachment

Back 7

h

Front 8

Law of syllogism

Back 8

h

Front 9

Postulate 5

Back 9

Through any two points there exist exactly one line.

Front 10

Postulate 6

Back 10

A line contains at least two points.

Front 11

Postulate 7

Back 11

If two lines intersect, then their intersection is exactly one point.

Front 12

Postulate 8

Back 12

Through any three noncollinear points there exists exactly one plane.

Front 13

Postulate 9

Back 13

A plane contains at least three noncollinear points.

Front 14

Postulate 10

Back 14

If two points lie in a plane, then the line containing them lies in a plane

Front 15

Postulate 11

Back 15

If two planes intersect, then their intersection is a line.

Front 16

Addition Property

Back 16

If a=b, then a+c = b+c

a-4(+4) = b+4(+4)

Front 17

Subtraction Property

Back 17

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

a-4(-4) = b+4(-4)

Front 18

Multiplication Property

Back 18

If a=b, then ac = bc

4a = a/4