Definitions
This is a ray that divides an angle into two angles that are congruent.
What is an Angle Bisector?
This property states:
"m∠A = m∠A"
What is the Reflexive Property of Equality?
___________ are two angles that share a common vertex and a common side.
What are Adjacent Angles?
This postulate states:
"Through any three noncollinear points, there exists exactly one plane."
What is the Three Point Postulate?
This theorem states:
"All right angles are congruent."
What is the Right Angles Congruence Theorem?
A _________ is a point, line, ray, or segment that cuts a segment in two equal parts.
What is a Segment Bisector?
This property states:
"If a = b and b = c, then a = c."
What is the Transitive Property of Equality?
When two angles measurements are added together and equal 90o, they are called ______________ angles.
What are Complementary Angles?
This postulate states:
"If B is between A and C, then AB+BC=AC."
What is the Segment Addition Postulate?
This theorem states that segment congruence is reflexive, symmetric, and transitive.
What is the Properties of Segment Congruence?
This word means that the measurement of two or more segments OR two or more angles is the same.
What is Congruent?
This property states:
"If AB = CD, then CD = AB."
What is the Symmetric Property of Equality?
This angle relationship is when two angles share a common vertex and the angle sides from two pair of opposite rays. These types of angles are congruent.
What are Vertical Angles?
This postulate states:
"If two lines intersect, then their intersection is exactly one point."
What is the Line Intersection Postulate?
This theorem states:"
If ∠4 and ∠5 are complementary and ∠6 and ∠5 are complementary, then ∠4 ≅ ∠6."
What is the Congruent Complements Theorem?
This is the point that divides the segment into two congruent segments.
What is the Midpoint?
This property states:
"If a = b, then a can be substituted for b (or b for a) in any equation or expression."
What is the Substitution Property of Equality?
When two angles measurements are added together and equal 180o, they are called ______________ angles.
What are Supplementary Angles?
This postulate states:
"If P is in the interior of ∠RST, then m∠RST = m∠RSP + m∠PST"
What is the Angle Addition Postulate?
This theorem states that angle congruence is reflexive, symmetric, and transitive.
What is the Properties of Angle Congruence?
This type of proof has numbered statements and corresponding reasons that show an argument in logical order.
This property states:
"Sum a(b + c) = ab + ac OR Difference a(b − c) = ab − ac"
What is the Distributive Property of Equality?
This angle relationship is when two adjacent angles have noncommon sides that create opposite rays and the angles are supplementary.
What is a Linear Pair?
This postulate states:
"If two points lie in a plane, then the line containing them lies in the plane."
What is the Plane-Line Postulate?
This theorem states:
"If ∠1 and ∠2 are supplementary and ∠3 and ∠2 are supplementary, then ∠1 ≅ ∠3."
What is the Congruent Supplements Theorem?