An unproven statement that is based on observations.
What is conjecture?
100
Two lines that intersect to form a right angle.
What are perpendicular lines?
100
Point of concurrency of the lines containing the altitudes of a triangle.
What is orthocenter?
100
Coplanar circles that have a common center.
What are concentric circles?
100
Line that intersects two or more coplanar lines at different points.
What is a transversal?
200
C squared equals B squared plus A squared
What is the pythagorean theorem?
200
If two angles are a linear pair, then they are supplementary.
What is the linear pair postulate?
200
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
What is the corresponding angles converse postulate?
200
If two sides and the included angle of one triangle are congruent to two sides and the included angles of the second triangle, then the two triangles are congruent
What is Side-Angle-Side (SAS) congruence postulate?
200
The sum of the measures of the interior angles of a triangle is 180 degrees.
What is the triangle sum theorem?
300
If B is between A and C, then AB + BC =AC.
if AB +BC =AC, then B is between A and C.
What is the segment addition postulate?
300
Segment congruence is reflexive, symmetric, and transitive.
What is properties of segment congruence theorem?
300
The acute angles of a right triangle are complementary.
What is corollary to the triangle sum theorem?
300
If a point is equidistant from the end points of a segment, then it is on the perpendicular bisector of the segment.
What is converse of the perpendicular bisector theorem?
300
If two angles are complementary to the same angle(or to congruent angles) then the two angles are congruent.
What is the Congruent Complements Theorem?
400
A line that intersects a circle in two points.
What is secant?
400
If an angle is inscribed in a circle, then its measure is half the measure of its intercepted arc.
What is the measure of an inscribed angle?
400
A line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it.
What is line perpendicular to a plane?
400
A process that includes looking for patterns and making conjectures.
What is inductive reasoning?
400
Point of concurrency of the angle bisector of a triangle.
What is incenter of a triangle?
500
Statement that can be proved easily using a theorem of a definition.
What is corollary?
500
If p -> q and q -> r are true conditional statements, then p -> r is true
What is law of syllogism?
500
Proof that uses arrows to show the flow of the logical argument
What is flow proof?
500
This is the most formal type of proof. It uses numbered statements in the left column and a reason for each statement in the right column.
What is two-column proof?
500
This type of proof describes the logical argument with sentences. It is more conversational than a two-column proof.