The converse of a statement is formed by exchanging the hypothesis and the conclusion.
What is true?
100
An argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true.
What is a proof?
100
The multiplication property of equality states the following:
if a = b, then a + c = b + c
What is false?
100
The contrapositive of the following conditional statement is this?
If two angles are complementary, then they are acute.
What is if two angles are are not acute, then they are not complementary?
200
The hypothesis of the following statement:
If two coplanar lines do not intersect, then they are parallel.
What is "If two coplanar lines do not intersect?"
200
Regarding conditional statements, the inverse and the converse of the conditional are not logically equivalent.
What is false?
200
related conditional statements that have the same truth value.
What is logically equivalent statement?
200
Justify the following step:
If 5 = 2k, then 2k = 5.
What is the symmetric property of equality?
200
A statement made from combining a conditional statement and its converse.
What is a biconditional statement?
300
Statements that can be written with "If, then."
What is Conditional statement?
300
Deductive reasoning is based on patterns and is not based on scientific research and/or facts.
What is false?
300
a statement formed by negating the hypothesis and conclusion.
What is the inverse?
300
What property justifies the following:
If AB is congruent to CD, and CD is congruent to EF, then AB is congruent to EF.
What is transitive property of congruence?
300
The "q" part of a conditional statement.
What is conclusion?
400
If the hypothesis is false, the conditional statement is true, regardless of the truth value of the conclusion.
What is True?
400
The reflexive property of equality is the same thing as the reflexive property of congruence.
What is false?
400
the process of reasoning that a rule or statement is true based on specific cases and/or by identifying patterns that are true.
What is inductive reasoning?
400
Name the property.
if a, b, and c are real numbers, and a = b, then a*c = b*c.
What is multiplication property of equality?
400
Exactly one statement needed to prove a statement is false is called this.
What is a counterexample?
500
If not p then not q.
What is the inverse?
500
conditional statement: If two angles are congruent, then they have the same measure.
converse: If two angles have the same measure, then the angles are congruent.
What is true
500
A statement that you believe to be true; a statement that hasn't been proven.
What is a conjecture?
500
If a = b, then b can be substituted for a in any expression. Name the property.
What is the substitution property of equality?
500
State the conclusion of the following statement.
If I study hard, then I will do well on the test.