Chapter 8.3, Problem 42E

(a)

To determine

To compare: The given lengths.

Answer to Problem 42E

AM and MB are same.

Explanation of Solution

Given:

The given line is:

  

Calculation:

M is the midpoint of A and B.

The comparison of AM and MB can be done as:

  $AM=MB=\frac{1}{2}AB$

Hence, AM and MB are same.

(b)

To determine

To compare: The given lengths.

Answer to Problem 42E

  $AC<MB$

Explanation of Solution

Given:

The given line is:

  

Calculation:

C is in between A and M. AM is same as MB.

Therefore,

  $AC<MB$

(c)

To determine

To compare: The given lengths.

Answer to Problem 42E

It is impossible to compare MC and MD.

Explanation of Solution

Given:

The given line is:

  

Calculation:

M is the midpoint of A and B. there is no information where the points C and D exist in the line. Hence, it is impossible to compare MC and MD.

(d)

To determine

To compare: The given lengths.

Answer to Problem 42E

  $DB<MB$

Explanation of Solution

Given:

The given line is:

  

Calculation:

D is in between B and M. MB is same as AM.

Hence,

  $DB<MB$