What is the first thing you state in a proof?
THE GIVEN
If you run out of gas then your car won't start. Mike's car ran out of gas.
Mike's car won't start.
What is the converse of "If I go to PEHS, then I am a Panther"
If i am a Panther, then I go to PEHS.
Good Definition? If a point is in the first quadrant then it has positive x and y values.
Good Definition
X=Y
X+3=Y+3
Addition Property
What is the inverse of "If I go to PEHS, then I am a Panther"
If I do not go to PEHS, then I am not a Panther.
What is a counterexample?
All grapes are green.
If <A = <B, <B = <C
Then <A = <C
Transitive Property
What is the contrapositive of If I go to PEHS, then I am a Panther. & is it true or false?
If I am not a Panther, then I do not go to PEHS.
Good definition? A unicorn is an animal with a horn.
Cows have horns.
5x+9x+40=180
14x+40=180
If it is snowing, then we will get out of school. We are out of school.
No conclusion. We can not conclude the converse.
Let p= you do your homework q = you get a good grade. What does p -> ~q mean (in words)
If you do your homework then you don't get a good grade
Squares are the only figure with 4 congruent sides.
Rhombus, Diamond
If 2 angles are complements of the same angle then the two angles are congruent is true for what property or theorem?
Congruent Complements Theorem
How do you know a definition is a good definition?
Is it reversible?