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Conditional statements
Definitions and biconditional statements
Deductive reasoning
Reasoning with properties from Algebra
Proving statements about segments and angles
100
A logical statement that includes a hypothesis and a conclusion.
What is a conditional statement?
100
A statement that contains the phrase "if and only if."
What is biconditional statement?
100
Uses facts definitions and accepted properties to write a logical argument.
What is deductive reasoning?
100
If a=b, then b=a.
What is symmetric property?
100
Vertical angles are _____ because of the vertical angles theorem.
What is congruent?
200
~q→~p
What is contrapositive?
200
Two lines that intersect at a right angle.
What are perpendicular lines?
200
If p →q is a true conditional statement, and p is true, then q is true.
What is law of detachment?
200
For any real number a, a=a.
What is reflexive property?
200
If m<4=53 ° and m<3=37 ° and they add up to 90 ° then they are ____.
What is complementary?
300
A counter example of the statement " If x squared equals 16, then x must equal 4."
What is -4?
300
The symbol ⊥ is read as...
What is "is perpendicular to" ?
300
If p→q and q→r are true conditional statements, then p→r.
What is law of syllogism?
300
If a=b and b=c, then a=__.
What is c?
300
A true statement that follows as a result of other true statements.
What is a theorem?
400
Write the negation of the statement, " m<2= 30° ."
What is " m<2≠ 30° ." ?
400
Write the biconditional statement of "If three lines are coplanar, then they lie in the same plane."
What is three lines are coplanar if and only if they lie in the same plane?
400
Using the Law of Syllogism, write the statement that follows these statements. "If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic."
What is "If the sun is shining, then we will have a picnic."
400
Use the substitution property to solve this equation, "If LK + JM = 12 and LK = 2, then JM = ________.
What is 10?
400
A ______ has numbered statements and reasons that show the logical order of an argument.
What is a two-column proof?
500
Through any _____ noncollinear points there exists only one plane.
What is three?
500
Write the biconditional statement as a conditional statement and its converse, "Two angles are right angles if and only if they are supplementary."
What is "If two angles are right angles, then they are supplementary." "If two angles are supplementary, then they are right angles" ?
500
Write the inverse and the contrapositive of this statement, " If it is hot, Mrs. Preston will go to the beach."
What is "If it is not hot, then Mrs. Preston will not go to the beach." and "If Mrs. Preston does not go to the beach, then it is not cold."
500
Using symmetric property of equality, solve the problem "if m<1=m<2 then ______.
What is m<2=m<1?
500
<1 and <2 are supplementary. <1=5x+14 and <2=10x+16. Solve for x.
What is 10° ?