Chapter 8.3, Problem 12E

To determine

The midpoint of line AB.

Answer to Problem 12E

  $CM=MD=\frac{1}{2}CD$

Explanation of Solution

Given:

The given line is:

  

Calculation:

The segment bisector by paper folding will be:

1. Draw the segment CD on a piece on paper.
2. Fold the paper such that point C is on top of point D.
3. Label the midpoint M.

That is,

  

Hence,

  $CM=MD=\frac{1}{2}CD$