Chapter 6, Problem 6CT

(a)

To determine

To find: the pair of each statement.

Answer to Problem 6CT

(a) is related to (d) that is, “If point $P$ is not on $\overline{AB}$ , then $AB\text{>}AP$ ”.

Explanation of Solution

  $P$ is not on $\overline{AB}$ .

If point $P$ is not on line $AB$ then the line $AB$ will be greater than line $AP$ .

“if point $P$ is not $\overline{AB}$ , then $AB\text{>}AP$ ”.

Conclusion:

That is (a) is related to (d).

(b)

To determine

To find: the pair of each statement.

Answer to Problem 6CT

(b) is related to (c) that is, “If point $P$ is on $\overline{AB}$ , then $AB\le AP$ ”.

Explanation of Solution

  $P$ is on $\overline{AB}$ .

If point $P$ is on line $AB$ then the line $AB$ will not greater than line $AP$ .

“if point $P$ is on $\overline{AB}$ , then $AB\le AP$ ”.

Conclusion:

That is (b) is related to (c).