Chapter 5.3: Inequalities in One Triangle

Question 1

Comparison Property of Inequality

Answer 1

a<b> b</b>

Question 2

Transitive Property of Inequality

Answer 2

If a b, and b > c, then a > c.

Question 3

Addition Property of Inequality

Answer 3

If a > b, then a + c > b + c.

If a

Question 4

Subtraction Property of Ineqaulity

Answer 4

If a > b, then a - c > b - c.

If a

Question 5

Exterior Angle Inequality

Answer 5

The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles

Question 6

Side Angle Relationship in Triangles Theorem

Answer 6

If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.

Question 7

Angle Side Relationships in Triangle Theorem

Answer 7

If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.

Question 8

Inequality

Answer 8

For any real numbers a and b, a > b iff there is a positive number c such that a=b + c