Deduction Reasoning
Not b --> not a (or not q--> not p)
What is the contrapositive?
Points are this iff there is a plane that contains all of them.
What is coplanar?
What is an angle?
A theorem that can easily be proved as a consequence of another theorem.
What is a corollary?
I form a linear pair with one of the angles of a polygon.
What is an exterior angle of a polygon?
a --> b
What is a conditional statement?
A point between its endpoints (on a line) that divides it into two equal segments.
What is the midpoint of a line segment?
Together, we add up to 90 degrees.
What are complementary angles?
If the three sides of one triangle are equal to three sides of another triangle, the triangles are congruent
What is the S.S.S. Congruence Theorem?
I'm an exterior angle of a triangle. What am I bigger than?
What is either remote interior angle.
An argument that has two premises and 1 conclusion.
What is a syllogism?
If a = b and b=c, then a = c
What is the transitive property?
Together, we add up to 180 degrees.
What are supplementary angles?
A compass
What is an instrument that we make circles or arcs with?
If two sides of a triangle are unequal, then what can you tell me about the opposite angles.
(not a question)
The angles opposite them are unequal and the larger angle is opposite the longer side.
Not a --> not b (or not p-->not q)
What is the inverse?
If A-B-C, then AB+BC=AC
What is the betweenness of point Theorem?
We have a common side and the other sides are opposite rays.
What is a linear pair?
To divide into equal parts.
What is bisect?
What is greater than the length of the third side of a triangle?
The sum of the lengths of the other two sides.
a iff b (p iff q)
What is a definition?
a line segment that joins any two nonconsecutive vertices of a polygon.
What is a diagonal of a polygon?
A ray that bisects an angle divides it into angles as large as the angle.
What is the Angle Bisector Theorem?
If two angles of a triangle are equal, the sides opposite them are equal. Is this a definition, a Corollary, Postulate, or a Theorem? (You do not answer this one as a question.)
Theorem
either a > b, a=b, or a< b
What is the 3 possibilities property also called the Trisometry property?