Chapter 14, Problem 1CR

To determine

To fill : in the blank.

Answer to Problem 1CR

If isometry $S$ maps $A\text{ to }A\text{'}$ and $B\text{ to }B\text{'}$ , then $\overline{AB}$ $\underset{\_}{\cong }$ $\overline{A\text{'}B}\text{'}$ .

Explanation of Solution

Given information : If isometry $S$ maps $A\text{ to }A\text{'}$ and $B\text{ to }B\text{'}$ , then $\overline{AB}$ $\underset{\_}{}$ $\overline{A\text{'}B}\text{'}$ .

If isometry $S$ maps $A\text{ to }A\text{'}$ and $B\text{ to }B\text{'}$ , then $\overline{AB}$ $\underset{\_}{\cong }$ $\overline{A\text{'}B}\text{'}$ .

Because $S$ is isometry. Isometry does not change distance between point.