Exploring Angles
Angle Relationships
Reasoning and Conjecturing
If-Then Statements and Postulates
Potpourri
100
A figure formed by two noncollinear rays with a common endpoint.
What is an angle?
100
Angles that have the same measure.
What are congruent angles?
100
Forming a conclusion from a series or pattern of observations.
What is inductive reasoning?
100
The portion of a conditional following "if" (and before "then").
What is the hypothesis?
100
An angle whose measure is less than 90 degrees.
What is an acute angle?
200
The two rays that form an angle are called this.
What are the sides of the angle.
200
It divides an angle into two congruent angles.
What is an angle bisector?
200
Using laws of logic and statements that are known to be true to reach a conclusion.
What is deductive reasoning?
200
The part of the conditional following "then".
What is the conclusion?
200
Two angles whose measures have a sum of 90 degrees.
What are complementary angles?
300
The common endpoint of the sides of an angle.
What is the vertex?
300
Special intersecting lines that form right angles.
What are perpendicular lines?
300
A false example.
What is a counterexample?
300
When I exchange the hypothesis and conclusion of a conditional. (If q, then p)
What is the converse?
300
Formed by negating the hypothesis and the conclusion of the converse of a conditional. (~q, then ~p)
What is contrapositive?
400
Angles are measured in these units
What are degrees?
400
Two nonadjacent angles formed by two intersecting lines (think of an X)
What are vertical angles?
400
An educated guess.
What is a conjecture?
400
The denial of a statement.
What is negation?
400
If p then q is a true conditional and p is true, then q is true.
What is the Law of Detachment?
500
An angle that measures more than 90 degrees.
What is an obtuse angle?
500
Two angles whose measures have a sum of 180 degrees.
What are supplementary angles?
500
What an If-Then statement is also called.
What is a conditional statement or conditional?
500
The negation of both the hypothesis and the conclusion of a conditional. (~p, then ~q)
What is inverse?
500
If p then q and q then r are true conditionals, then p then r is also true.
What is the Law of Syllogism?
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