Chapter 2.5: Reasoning with Properties

Question 1

Properties of Equality

Answer 1

let a, b and c be real numbers.

Question 2

Addition Property

Answer 2

if a=b, then a+c = b+c.

Question 3

Subtraction Property

Answer 3

if a=b, then a-c=b-c.

Question 4

Multiplication Property

Answer 4

if a=b, then ac=bc.

Question 5

Division Property

Answer 5

if a=b and c not equal 0, then a/c=b/c.

Question 6

Reflexive Property

Answer 6

for any real number a, a=a.

Question 7

Symmetric Property

Answer 7

if a=b, then b=a.

Question 8

Transitive Property

Answer 8

if a=b and b=c, then a=c.

Question 9

Substitution Property

Answer 9

if a=b, then “a” may be substituted for “b” in any equation or expression.

Question 10

Properties of Congruence

Answer 10

Reflexive, Symmetric and Transitive.

Question 11

Reflexive

Answer 11

any geometric object is congruent to itself.

Question 12

Symmetric

Answer 12

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

Question 13

Transitive

Answer 13

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.