Properties and Definitions in Geometry

Front

a = a

Back

REFLEXIVE PROPERTY OF EQUALITY

Front

If a = b, then b = a

Back

SYMMETRIC PROPERTY OF EQUALITY

Front

If a = b and b = c, then a = c

Back

TRANSITIVE PROPERTY OF EQUALITY

Front

If a - 7 = 4, then a = 11

Back

ADDITION PROPERTY OF EQUALITY

Front

If a + 2 = 6, then a = 4

Back

SUBTRACTION PROPERTY OF EQUALITY

Front

If \frac{a}{2} = 5, then a = 10

Back

MULTIPLICATION PROPERTY OF EQUALITY

Front

If 4a = 40, then a = 10

Back

DIVISION PROPERTY OF EQUALITY

Front

If a(b + c), then ab + ac or If a(b - c), then ab - bc

Back

DISTRIBUTIVE PROPERTY

Front

If a = b and a + 5 = c, then b + 5 = c

Back

SUBSTITUTION PROPERTY OF EQUALITY

Front

Segments that have the same measure

Back

DEFINITION OF CONGRUENT SEGMENTS