2.5 Reasoning with Properties

Question 1

Properties of Equality

Answer 1

Let a, b, and c be real numbers

Question 2

Addition Property of Equality

Answer 2

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

Question 3

Subtraction Property of Equality

Answer 3

If a = b, then a - c = b - c

Question 4

Multiplication Property of Equality

Answer 4

If a = b, then a • c = b • c

Question 5

Division Property of Equality

Answer 5

If a = b and c doesn’t equal 0, then a/c = b/c

Question 6

Reflexive Property of Equality

Answer 6

For any real number a, a = a

Question 7

Symmetric Property of Equality

Answer 7

If a = b, then b = a

Question 8

Transitive Property of Equality

Answer 8

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

Question 9

Substitution Property of Equality

Answer 9

If a = b, then a may be substituted for b in any equation or expression

Question 10

Distributive Property

Answer 10

Combining like terms

Question 11

Reflexive Property of Congruence

Answer 11

Any geometric object that is congruent to itself

Question 12

Symmetric Property of Congruence

Answer 12

If one geometric object is congruent to a second object, then the second object is congruent to the first object

Question 13

Transitive Property of Congruence

Answer 13

If one geometric object is congruent to a second geometric object and the second geometric object is congruent to a third object, then the first object is congruent to the third object