5.3-5.6

Question 1

Definition of Inequality

Answer 1

Positive real numbers

a>b and a= b + c

              5 = 2 + 3  5 > 2 5 > 3

Question 2

Comparison Prop of Inequality

Answer 2

real numbers
a < b,
a= b
a > b

Question 3

Transitive property of inequality

Answer 3

1. If a < b
   and
   b < c, then a < c.
2. If a > b
   and
   b > c, then a > c

Question 4

Addition property of inequality

Answer 4

1. If a > b, then a + c> b + c
2. If a < b, then a + c < b + c

Question 5

Subtraction property of inequalities

Answer 5

1. If a > b, then a - c > b - c.
2. If a < b, then a - c < b - c.

Question 6

Exterior Angle Inequality

Answer 6

Measure of outer angle is greater than corresponding other two angles

Question 7

Angle side Relationships

Answer 7

One SIDE of angle is LONGER then CORRESPONDING ANGLE is GREATER

as well as shorter

Question 8

5.10

Answer 8

Greater angle means corresponding opposite side is LONGER

Question 9

Hinge theorem

Answer 9

twO triangles and their two sides are congruent THE ANGLE OF BOTH SIDES
is NOT congruent.

SOOO

longer THIRD SIDE is across whichever has LONGER ANGLE