GeoOo Flashcards
Angle addition postulate
m< ABD + m< DBC= m<ABC
Linear pair postulate
If two angle form a linear pair, then they are supplementary
Vertical angles theorem
IF two angles are vertical angles then they are congruent
Right Angle Congruence Theorem
If two angles are right angles then they are congruent
Congruent complements Theorem
Congruent supplements theorem If two angles are complementary to the same angle (or congruent angles) then they are congruent.
Congruent supplements Theorem
If two angles are supplementary to the same angle (or congruent angles) then they are congruent.
Definition of congruent segments
Segments are congruent if and only if they have the same measure
Definition of Segment Bisector
The bisector of a segments divides the segment into 2 congruent parts
Definition of Midpoint
The midpoint of a segment divides the segment into 2 equal (congruent parts)
Definition of Congruent Segments
Segments are congruent if and only if they have the same measure
Definition of Congruent Angles
Angles are congruent if and only if they have the same measure
Definition of Perpendicular Lines
Perpendicular lines form right angles
Addition POE
You can add the same number (C) to both sides of an equation (a and b) and the equation will still be true.
Subtraction POE
If you subtract the same number from both sides of an equation, the equality remains true
Multiplication POE
If you multiply both sides of an equation by the same number, the resulting equation remains equal
Division POE
If you divide both sides of an equation by the same number, the resulting equation remains true.
Substitution POE
If two variables are equal then you can replace one with the other in any equation or expression
Reflexive POE
A value or quantity is equal to itself, in the same order.
Transitive POE
if a is equal to b, and b is equal to c, then a is equal to c
Symmetric POE
If two expression are equal then the expression remain equal even if their sides are switched.s
Reflexive POC
States that any geometric figure is congruent to itself= a line segment is congruent to itself
Transitive POC
If two geometric shapes are congruent to a third shape, then the first two shapes are also congruent to each other
Right Angle Congruence Theorem
All right angles are congruent
Congruent Complements Theorem
If 2 angles are complementary to the same angles (or congruent angles) then they are congruent.
Congruent Supplements Theorem
If 2 angles are supplementary to the same angles (or congruent angles) then they are congruent.
Vertical Angles Congruence Theorem
Vertical angles are congruent
Linear Pair Postulate
If two angles form a linear pair then they are supplementary
Adjacent Angles
two angles that share a common vertex and a common side but do not overlap
Congruent
Angles that have equal measure
