Section 2-1
Section 2-2
Section 2-3
Section 2-4
Section 2-5
100
The "x = 2" part of "If x = 2, then 19 - x = 17".
What is the hypothesis?
100
This type of statement includes the phrase "if and only if".
What is a biconditional?
100
Your result after using the Law of Detachment.
What is a true conclusion?
100
The property being used here: 4x - 5 = 10 4x = 15
What is the Addition Property of Equality?
100
The property of vertical angles that the Vertical Angles Theorem gives us.
What is "vertical angles are congruent"?
200
The two words we need to make sure we don't include in our hypothesis and conclusion.
What are "if" and "then"?
200
****DAILY DOUBLE**** The counterexample to the following statement: "The Steelers have the best record of a professional PA football team".
What are "The Philadelphia Eagles, baby"?
200
Your result after using the Law of Syllogism.
What is a conditional?
200
The property being used here: 2(3x + 7) = 20 6x + 14 = 20
What is the Distributive Law (of Equality)?
200
The statement of the Right Angles Theorem.
What is "all right angles are congruent"?
300
It switches the hypothesis and conclusion of a conditional statement.
What is the converse?
300
The two statements that form the biconditional "Two angles are congruent if and only if they have the same measure".
What is "If two angles are congruent, then they have the same measure" and "If two angles have the same measure, then they are congruent".
300
****DAILY DOUBLE**** Using the Law of Detachment, your result: If a Penguins player dives, then he will not get called for a penalty because their team always get a free pass from the officials. Sidney Crosby just dove when Claude Giroux stripped him of the puck.
What is "Sidney Crosby won't get called for a penalty"?
300
The property being used here: Segment XY is congruent to segment XY
What is the Reflexive Property of Congruence?
300
The statement of the Congruent Complements Theorem.
What is "angles that are complementary of the same angle (or congruent angles) are congruent to one another"?
400
The conditional of the following statement: "A problem well-stated is a problem half-solved".
What is "If a problem is well-stated, then the problem is half-solved"?
400
The biconditional of this statement "When the sum of the digits of an integer is divisible by 9, the integer is divisible by 9, and vice versa".
What is "The sum of the digits of an integer is divisible by 9 if and only if the integer is divisible by 9".
400
Using the Law of Syllogism, your result: If you study for this math test, then you will get a good grade. If you get a good grade, then Mr. Faust will be happy.
What is "If you study for this math test, then Mr. Faust will be happy"?
400
The property being used here: If a + b = c and c = 90, then a + b = 90
What is the Transitive Property of Equality?
400
The statement of the Congruent Supplements Theorem.
What is "angles that are supplementary of the same angle (or congruent angles) are congruent to one another"?
500
The converse of the following statement: "If two segments are congruent, then they have the same length".
What is "If two segments have the same length, then they are congruent"?
500
A biconditional of a line parallel to a plane.
What is "A line is parallel to a plane if and only if it does not intersect the plane"?
500
The two things you need in order to use the Law of Detachment.
What is a true conditional and a true hypothesis?
500
The property being used here: a + b = 24 and c + d = 24 a + b = c + d
What is the Substitution Law of Equality?
500
The statement of our final theorem of Chapter 2, Theorem 2-5.
What is "If two angles are congruent and supplementary, then both angles are right angles"?