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Postulates
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Definitions
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Theorems
100
if B is between A and C, then segment AB + segment BC = segment AC
What is the segment addition postulate
100
if you are making a statement you believe to be true based on inductive reasoning. you are doing this.
What is making a conjecture
100
a point that bisects or divides a segment into two congruent segments.
What is a midpoint
100
a line that intersects two coplanar lines at two different points
What is a transversal
100
if two coplanar lines are perpendicular to the same line then those lines must be parallel.
What is the converse of perpendicular transversal theorem
200
if D is in the interior of angle ABC, then the measure of angle ABD + the the measure of DBC = the measure of ABC
What is the angle addition postulate
200
if the conditional and the converse of a statement are both true. you have this.
What is a biconditional statement
200
the common endpoint in an angle.
What is a vertex
200
2(3.14)(r)
What is the formula to find the circumference of a circle
200
in a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
What is the perpendicular transversal theorem
300
if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
What is the corresponding angles postulate
300
if A = B and B = C, then A = C
What is the transitive property of equality
300
the process of reasoning that a rule or statement is true because specific cases are true.
What is inductive reasoning
300
if a ray bisects a segment at its midpoint and forms a right angle. that ray is this
What is a perpendicular bisector
300
if two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel.
What is the converse of the alternate interior angles theorem
400
through a point A not on line L, there is exactly one line parallel to L
What is the parallel postulate
400
if it is Sunday, then it is the weekend.
What is a conditional statement
400
an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true.
What is a proof
400
A^2 + B^2 = C^2
What is the pythagorean theorem
400
if two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel.
What is the converse of the alternate exterior angles theorem
500
if two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel.
What is the converse of the corresponding angles postulate
500
lines that are not coplanar, not parallel, and don't intersect.
What are skew lines
500
statements that have the same truth value.
What is a logically equivalent statement
500
if you want to find the distance between two points on a coordinate plane. you use this.
What is the distance formula
500
if two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel.
What is the converse of the same-side interior angles theorem