Deductive Reasoning
I contain 2 premises and 1 conclusion
What is a syllogism?
Points that a line contains.
What is collinear?
Less than 90 degrees.
What is an acute angle?
I am a part of a circle.
What is an arc?
I say, "if not b, then not a".
What is the contrapositive of a statement?
I am an "if, then" statement
What is a conditional statement?
for every line that contains a side of the polygon, the rest of the polygon lies on one side of the line
What is a convex polygon?
IF ray OB is between ray OA and ray OC, the angle AOB + angle BOC = Angle AOC
What is the Betweenness of Rays Theorem
This is what we are when our corresponding parts are equal.
What is congruent?
I am a conclusion that is justified.
What is a valid deduction?
I am assumed to be not be true in this proof.
What is b?
The sum of the lengths of the sides of a polygon
What is the perimeter of a polygon?
The sum of these two angles equals 90 degrees
What are complementary angles.
I'm the largest side in a right angle.
What is the hypotenuse.
I'm a triangle with no equal sides.
What is a scalene triangle?
The structure that is built by means of logic
What is a deductive system?
a line segment that joins any two nonconsecutive vertices
What is a diagonal of a polygon?
I'm less than 180 degrees but more than 90 degrees.
What is an obtuse angle
I'm a triangle who sides are all equal
What is equilateral?
I am a statement that is proved by reasoning deductively from already accepted statements.
What is a theorem?
I am an "iff" statement.
What is a definition?
A point between its endpoints that divides it into two equal segments
What is the midpoint of a line segment
A ray that bisects an angle divides it into angles half as large as the angle
What is the Angle Bisector Theorem.
I'm a theorem that can be proved as a consequence of another theorem
What is a corollary?
I say, "if b, then a" or "if q, then p"
What is the converse of a statement?