Chapter 7 Geometric Inequalities

Question 1

exterior angle

Answer 1

an angle that forms a linear pair with one of the interior angles of the polygon

Question 2

Partition for Inequalities

Answer 2

The whole is greater than any one of its parts.

Question 3

Transitive Property for Inequalities

Answer 3

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

Question 4

Substitution for Inequalities

Answer 4

A quantity may be substituted for its equal in any inequality.

Question 5

How to tell if the lengths of the three sides of a triangle are possible.

Answer 5

The length of one side is less than the sum of the other two.

Question 6

How big is the exterior angle of a triangle?

Answer 6

The exterior angle is larger than either of the nonadjacent interior angles.

Question 7

How do you compare the sizes of the angles and sides of a triangle?

Answer 7

The bigger side is across from the bigger angle.

Question 8

Trichotomy Postulate

Answer 8

There are always only three options for how a and b compare. ab, or a=b