Logic
exchanging the hypothesis and conclusion of a conditional.
What is the converse?
If M is the midpoint between line AB, then AM is congruent to MB.
What is the midpoint theorem?
If B is between A and C, then AB + BC = AC
What is the segment addition postulate?
For every number a, a=a
What is the Reflexive Property?
A law of logic that is similar to the transitive property.
What is the Law of Syllogism?
negating both the hypothesis and the conclusion of the conditional.
What is the inverse?
a2 + b2 = c2
What is the Pythagorean Theorem?
If ray QR is in the interior of <PQS, then m<PQR + m<RQS = m<PQS
What is the angle addition postulate?
For all numbers a, b and c, if a = b and b = c, then a = c
What is the transitive property?
Statements that are accepted as true and describe a fundamental relationship in Geometry.
What are postulates?
The translation of: p v q
what is p or q?
If two angles form a linear pair, then they are supplementary angles.
What is the supplement theorem?
Perpendicular lines intersect to form four right angles.
What is Theorem 2.9?
For all numbers a and b, if a = b then b = a
What is the Symmetric Property?
A law of logic used to draw a conclusion from a list of true conditional statements using deductive reasoning.
What is the Law of Detachment?
negating both the hypothesis and the conclusion of the converse statement.
What is the contrapositive?
If the noncommon sides of two adjacent angles form an right angle, then the angles are complementary angles.
What is the complement theorem?
Angles complementary to the same angle or to congruent angles are congruent.
What is theorem 2.7?
If two segments or two angles have the same measure, then they are congruent.
What is the definition of congruent?
sq rt of {(x1 - x2 ) + (y1 - y2 )} = d
What is the distance formula?
The translation of ~p ^ q
What is not p and q?
Angles supplementary to the same angle or to congruent angles are congruent.
What is Theorem 2.6?
If two congruent angles form a linear pair, then they are right angles.
What is theorem 2.13?
For all numbers a, b and c, a(b + c) = ab + ac.
What is the distributive property?
If two angles are vertical angles, then they are congruent.
What is the vertical angles theorem?