Geometry Proof Tool Box Flashcards
Segment Addition Postulate
If B is between A and C, then AB+AC+=AC
Reflexive Property
A=A
AB=AB
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Def. of a Midpoint
if B is the midpoint of AC, then AB is congruent to BC
Def. of Segment Bisector
If BD bisected
Angle Addition Postulate
If D is in the interior f
Def. of Angle Bisector
If BD bisects
Right Angle Congruence Theorem
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Vertical Angles Theorem
If <1 and <2 form vertical angles, then they are congruent
Alternate Interior Angles Theorem
If two lines are parallel, then alternate interior angles are congruent
Alternate Exterior Angles Theorem
If two lines are parallel, then alternate exterior angles are congruent
Same Side Interior Angles Theorem
If two lines are parallel, then same side interior angles are supplementary
Definition of Perpendicular Lines
If 2 lines are perpendicular, then they form a right angle
SSS
All three sets of sides of a triangle are congruent, proving the triangles’ congruence to each other
SAS
2 sets of sides and one included angle are congruent, proving the triangles’ congruence to each other
ASA
One set of included sides are congruent between two sets of congruent angles, proving the triangles’ congruence to each other
