Geometric Figures
Named with a singular capital letter, can be used for naming geometric figures
What is a point?
Proving something is correct with statements
What is a proof statement?
the if clause would be the hypothesis, so the then statement would be
An Angle that is less that ninety degrees
What is an Acute Angle?
the middle of a circle
What is the center?
Named using two points on the figure in any order, or named with a lowercase letter
What is a line?
A statement that has been proven previously and will always be proven correct without a doubt
what is a theorem?
To justify steps in two columns
What are two column proofs?
an Angle that is more than ninety degrees
what is an obtuse angle?
A segment that passes through the center of the circle
what is Diameter?
Named using two endpoints in any order
What is a Line Segment?
A series of reason or facts that support a given statement
what is an Argument?
Statements that have to proven in if-then formats
What are conditional statements?
Two angles that are not close to each other and add up to 90 degrees
what are complementary angles?
a segment of with one endpoint on the circle and one endpoint at the middle of a circle
What is Radius?
Named using the endpoint and one other point, with the endpoint always listed first
what is a ray?
To use generalized statements to prove and come to a conclusion
What is inductive Reasoning?
An if-then statement where the hypothesis could be trues but the conclusion false
What is a Counterexample?
Two angles that are by each other that add up to 90 degrees
What are adjacent complementary angles?
a segment with both endpoints on the circle
what is a chord?
Named using any three points that are not on the same line, can be in any order, or can be named using a capital cursive letter. Typically is a geometric figure with points within that area.
What is a plane?
To use information that has been gathered previously which was proven to be true, then testing if one's hypothesis is correct
What is deductive reasoning?
A statement that uses the words "if and only if" to state that both the statement and it's converse are true
What is a Biconditional Statement?
Two angles that are close to each other and add up to 180
What are Adjacent Supplementary angles?
a ray that divides an angle into two congruent adjacent angles
what is an angle bisector?