Writing Conditional Statements in if-then form
Writing Biconditional Statements
Deductive Reasoning
Reasoning with Properties
Reasoning with Properties from Algebra
100
Two points are collinear if they lie on the same line.
If two points are collinear, then they lie on the same line.
100
Two points are collinear if they lie on the same line.
Two points are collinear if and only if they lie on the same line.
100
p -> q Write the converse?
q -> p
100
A=B, then a+c = b+c
Addition Property
100
28x - 36= -64 Next step
Addition Property
200
On Wednesday night Jimmy goes to the gym.
If it is Wednesday night, then Jimmy goes to the gym.
200
I go to the gym on Wednesday night.
I go to the gym if and only if it is Wednesday night.
200
p -> q Write the inverse?
~p -> ~q
200
A=B, then ac=bc
Multiplication Property
200
2x= 20 Next Step
Division Property
300
It is summer so school is closed.
If it is summer, then school is closed.
300
It is summer so school is closed.
It is summer if and only if school is closed.
300
p -> q Write the contrapositive?
~q -> ~p
300
A=A
Reflexive Property
300
If AB = CD, then CD = AB Name the property
Symmetric Property
400
I prepare dinner on Tuesday night.
If I prepare dinner, then it is Tuesday night.
400
I prepare dinner on Tuesday night.
I prepare dinner if and only if it is Tuesday night.
400
p -> q Write the conditional statement?
p -> q
400
A=B, then B=A.
Symmetric Property
400
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Reflexive Property
500
We are dismissed early if there is a teacher's meeting.
If we are dismissed early, then it is a teacher's meeting.
500
We are dismissed early if there is a teacher's meeting.
We are dismissed early if and only if there is a teacher's meeting.
500
p -> q Write the Biconditional Statement?
p <-> q
500
A=B and B=C, then A=C
Transitive Property
500
AB = CD and CD = EF, then AB = EF
Transitive Property
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