Hypotheses vs. Conclusions
Conditional Statements
Properties, Definitions, Postulates
Algebra Proofs
Segment Proofs
100
The hypothesis of a conditional statement always comes after this word
What is "if"?
100
What do we use to convey that we know a statement is true or false?
Truth Value
100
Give the reason for this statement:
If AB=CD, then CD=AB.
Symmetric Property of Equality
100
What is reason 4?
Symmetric Property of Equality
100
What is reason 3?
Segment addition postulate
200
The conclusion of a conditional statement always comes after this word
What is "then"?
200
What two versions of a statement need to be TRUE for the statement to be written as a BICONDITIONAL statement
The conditional and the converse need to be true.
200
Give the reason for this statement:
If AB+CD=CD+JK, then AB=JK
Subtraction Property of Equality.
200
Identify the mistakes in this proof and provide the corrections
Reason 4, should be "Division POE"
200
What is reason 5?
Transitive Property of Equality
300
Identify the hypothesis of this conditional statement:
If you can predict the future, then you can control the future.
Hypothesis:
You can predict the future
300
State the following conditional statement as its INVERSE:
If it is Saturday, then there is no school.
If it is NOT Saturday, then there IS school.
300
If AB≅CD, then AB=CD.
Definition of Congruence
300
What is the reason 3
Simplify/Combine like terms
300
What is reason 4 and 5?
4. Substitution Property of Equality
5. Transitive Property of Equality
400
Identify the conclusion of this conditional statement:
If you can predict the future, then you can control the future.
Conclusion:
You can control the future
400
State the following conditional statement as its CONVERSE:
If you can predict the future, then you can control the future.
If you can control the future, then you can predict the future.
400
Give the reason for the statement:
If Points J, K, and L are collinear and JK=KL, then K is the midpoint of JL.
Definition of midpoint.
400
What is the missing statement 2
2y-1=-15
400
What reason is incorrect and what should it be?
Reason 7, definition of congruence.
500
Rephrase this statement as a conditional statement:
A person who grew up in France speaks French.
If a person grew up in France, then they speak French.
500
Consider the converse of the following statement, state the biconditional of the statement if possible:
If a polygon has five sides, then it is a pentagon.
Because the converse is true, the biconditional is:
A polygon has five sides if and only if it is a pentagon.
or
A polygon is a pentagon if and only if it has five sides.
500
Give the reason for this statement:
If KL=LN and AB+CD=LN, then AB+CD=KL.
Transitive Property of Equality.
500
Identify the mistakes in this proof and provide the corrections
Reason 3, should be "simplify/combine like terms"
Reason 6, should be "Division POE"
500
What are reasons are incorrect and what would correct it?
Reason 2, definition of midpoint
Reason 3, given