2.5 Reasoning with Properties

Question 1

Subtraction Property of Equality

Answer 1

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

Question 2

Multiplication Property of Equality

Answer 2

If a=b, then ac = bc

Question 3

Division Property of Equality

Answer 3

If a=b and c doesn’t=0, then a divided by c = b divided by c

Question 4

Reflexive Property of Equality

Answer 4

For any real number a, a=a

Question 5

Symmetric Property of Equality

Answer 5

If a=b, then b=a

Question 6

Transitive Property of Equality

Answer 6

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

Question 7

Substitution Property of Equality

Answer 7

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

Question 8

Reflexive property of Congruence

Answer 8

Any geometric object is congruent to itself

Question 9

Symmetric of Congruence

Answer 9

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

Question 10

Transitive of Congruence

Answer 10

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

Question 11

Addition Property of Equality

Answer 11

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