Segments and Angles
What is a line segment?
The ordered pair of the x and y value of a point on the plane.
An unproven statement based on reasoning.
What is a conjecture?
An IF, THEN statement that has a hypothesis and a conclusion.
What is a conditional statement.
A list of all of the possible combinations of truth values for two or more statements.
What is a truth table?
The measure between two rays that share an endpoint.
What is an angle?
The average of the x and y values, or the midpoint formula.
What is ((x2+x1)/2 , (y2+y1)/2)?
An example that proves a statement false.
What is a counter example?
A type of statement that is written as p if and only if q that represents two conditional statements,
p -> q and q -> p
What is a biconditional statement?
A law of logic that says, If p -> q is true and p is true, then q must be true.
What is the law of detachment?
The postulate that states, every point can be paired with a unique real number coordinate.
What is the ruler postulate?
The midpoint of segment AB if A=(-8,4) and B=(2,-2).
What is (-3,1)?
A type of reasoning that reaches conclusions based on a pattern of specific examples or past events.
What is inductive reasoning?
A new statement that is made by swapping the conclusion and the hypothesis of a conditional statement so it reads If q, then p.
What is a converse?
A law of logic that states,
If p -> q and q -> r then p -> r
What is the law of syllogism?
The postulate that states, the measure of an angle can be paired with a number between 0 and 180.
What is the protractor postulate?
The distance of segment AB if A=(6,-8) and B=(3,-4).
What is 5 units?
The next two terms of the sequence
1, 4, 9, 16, 25...
What are 36 and 49
A new statement that is made by taking the negation of the hypothesis and the conclusion of a conditional statement so it reads If ~p, then ~q.
What is the inverse?
The law used to determine this conclusion:
If a student pays attention in class, then they understand the lesson.
If they understand the lesson, then they do well on homework.
Conclusion: A student pays attention in class so they understand the lesson.
What is the law of detachment?
The distance between any two points A and B on a number line.
What is |A - B|?
The famous theorem a2+b2=c2 that the distance formula can be derived from.
What is the pythagorean theorem?
The pattern that this sequence follows
A, BB, CCC, DDDD, EEEEE ...
What is listing the letter of the alphabet times the term in the sequence.
The relationship between these two statements
If it is October 31st, then it is halloween
If it is not halloween, then it is not October 31st
What is the contrapositive?
The law used to determine this conclusion:
If a student pays attention in class, then they understand the lesson.
If they understand the lesson, then they do well on homework.
Conclusion: A student pays attention in class so they do well on the homework.
What is the law of syllogism?