Algebraic Terms
This mathematical property is commonly used in one and two step equations and permits the subtraction of the same value on both sides of the equal sign.
If a = b, then a - c = b - c
What is the Subtraction Property of Equality?
This term is used to describe two segments or angles that have the exact same measure and shape.
What is Congruence?
If two angles form a right angle, then they are complementary.
What is the Compliment Theorem?
If a = b, then b = a.
What is the Symmetric Property?
If A, B, and C are collinear points and B is between A and C, then AB + BC = AC.
What is the Segment Addition Postulate (SAP)?
This mathematical property is commonly used in one and two step equations and permits the division of the same value on both sides of the equal sign.
If a = b, then a / c = b / c
What is the Division Property of Equality?
This term divides an angle or segment into two equal parts.
What is a Bisector?
If two angles form a linear pair, then they are supplementary.
What is the Supplement Theorem?
This is usually very expensive and right beside Go, but could also refer to a wooden walkway across sand or marshy ground.
What is Boardwalk?
The measure of angle ABD added to the measure of angle DBC must equal ABC.
Given that a ray DB cuts angle ABC into two parts.
What is the Angle Addition Postulate?
This mathematical property is commonly used in one and two step equations and permits the multiplication of the same value on both sides of the equal sign.
If a = b, then ac = bc
What is the Multiplication Property of Equality?
This term is used to describe two angles that add together for a sum of 180 degrees.
What is Supplementary?
If angle A is complementary to angle B and angle C is also complementary to angle B, then angle A is congruent to angle C.
What is the Congruent Compliment Theorem?
If a = b, then a may be replaced by b in any expression or equation.
What is the Substitution Property?
Given a conditional statement, if the hypothesis is true, then the conclusion is also true.
What is the Law of Detachment?
This mathematical property is commonly used in one and two step equations and permits the multiplication of a single term to another, usually with two or more different variables.
If a(b + c), then a(b+c) = ab + ac
What is the Distributive Property?
The intersection of this forms right angles.
What is a Perpendicular?
If angle A is supplementary to angle B and angle C is also supplementary to angle B, then angle A is congruent to angle C.
What is the Congruent Supplement Theorem?
If a = b and b = c, then a = c.
What is the Transitive Property?
This allows you to draw a conclusion from two conditional statements in which the conclusion of the first statement is the hypothesis of the second statement.
What is the Law of Syllogism?
This mathematical property is commonly used in one and two step equations and permits the addition of the same value on both sides of the equal sign.
If a = b, then a + c = b + c
What is the Addition Property of Equality?
This divides a segment into two equal/congruent parts.
Given M on the segment AB, then AM = MB.
What is a midpoint?
If two angles have this relationship, then they are congruent.
What are vertical angles?
For a real number a, a = a.
A value always equals itself.
What is the Reflexive Property?
A common format in high school Geometry used to organize a proof.
What are Two-Column Proofs?