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Geometry Quiz 2-2
EHS/BSS Geometry Quiz 2-2 Flashcards: Proofs
Term | Definition |
---|---|
Midpoint Theorum | if M is the midpoint of line AB, then line AM is congruent to line MB |
Addition Property of Equality | if a=b, then a+c=b+c |
Subtraction Property of Equality | if a=b, then a-c=b-c |
Multiplication Property of Equality | if a=b, then ac=bc |
Division Property of Equality | if a=b, then a/c=b/c |
Symmetric Property of Equality | if a=b, then b=a |
Transitive Property of Equality | if a=b and b=c, then a=c |
Substitution | if a=b, then a can be substituted for b in any equation or expression |
Distributive Property | a(b+c)=ab+ac |
Simplify or Combine Like Terms | if a+a=b, then 2a=b |
Congruence | if AB=CD, then line AB is congruent to line CD or if line AB is congruent to line CD, then AB=CD |
Segment Addition Postulate | if B is between A and C, then AB+BC=AC and if AB+BC=AC, then B is between A and C |
Properties of Segment Congruence Theorum | segment congruence is reflexive, transitive, and symmetric |
Symmetric Property of Congruence | if line AB is congruent to line CD, then line CD is congruent to line AB |
Transitive Property of Congruence | if line AB is congruent to line CD and line CD is congruent to line EF, then line AB is congruent to line EF |
Angle Addition Postulate | the measure of angle 1 (angle ABD) plus the measure of angle 2 (angle DBC) equals the measure of angle ABC |
Supplement Theorum | if two angles form a linear pair, then they are supplementary angles (the measure of angle 1 plus the measure of angle 2 equals 180 degrees) |
Complement Theorum | if two adjacent angles form a right angle, then they are complementary angles (the measure of angle 1 plus the measure of angle 2 equals 90 degrees) |
Properties of Angle Congruence Theorum | angle congruence is reflexive, symmetric, and transitive |
Congruent Supplements Theorum | if the measure of angle 1 plus the measure of angle 2 equals 180 degrees and the measure of angle 2 plus the measure of angle 3 equals 180 degrees, then angle 1 is congruent to angle 3 |
Congruent Complements Theorum | if the measure of angle 1 plus the measure of angle 2 equals 90 degrees and the measure of angle 2 plus the measure of angle 3 equals 90 degrees, then angle 1 is congruent to angle 3 |
Vertical Angles Theorum | if two angles are vertical angles, then they are congruent |