Geometry Final Flashcards
(26 cards)
Subtraction Property
When subtracting congruent pairs of segments to congruent segments
Or
Congruent pairs of angles to congruent angles
Multiplication Property
If segments or angles congruent, then their like multiples are congruent.
Division Property
If segments or angles congruent, then their like divisions are congruent.
Comps of Congruent Angles Congruent
If angles are comps of the same angle, then they are congruent.
Supps of Congruent Angles Congruent
If angles are supps of the same angle, then they are congruent.
VAAC
Vertical angles are congruent.
CPCTC
Corresponding parts of congruent triangles
Justifying Line
2 points determine a line
S-A Thm
If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.
Converse True
HL
If 2 triangles are both right and have corresponding pair of legs congruent and have congruent hypotenuses, then the triangles are congruent.
SAS
Side, Angle, Side
Proving triangle congruence
SSS
Side, Side, Side
Proving triangle congruence
ASA
Angle, Side, Angle
Proving triangle congruence
Midpoint Formula
(X1+X2/2, Y1+Y2/2)=Xm,Ym
Addition Property
When adding congruent pairs of segments to congruent segments
Or
Congruent pairs of angles to congruent angles
Theorem
A mathematical statement that can be proved
Probability
of winners/# of possibilities
Trans Prop
x=y and y=z then x=z
Reflex Theorem
Any segment or angle = to itself
Triangle Congruency
SSS, ASA, SAS, HL
Triangle Names (sides)
Scalene, Isosceles, Equilateral,
Triangle Names (angles)
Equiangular, Acute, Right, Obtuse
Equidistant
If 2 points are each equidistant from the endpoints of a segment, then the 2 points determine perp bis of that segment
Converse True
Parallel Lines (graph)
If the slope of 2 non vertical lines = then they are ||