Chapter 10, Problem 1RE

For Exercises 1–10, identify each figure.

1.

To determine

To identify: The given figure and provide its name.

Answer to Problem 1RE

The name of the given figure is $\underset{\_}{\text{line}}$ and it’s symbol is $\underset{\_}{\overleftrightarrow{AB}}$.

Explanation of Solution

Refer to Table 10-1 in the textbook.

From the given figure representing the line, the line will continue to infinity in both the directions. The points A and B are also included in the line. Therefore, the line is represented by $\overleftrightarrow{AB}$.

The two rays can form one line, which is shown in Figure 1.

In Figure 1, assume that points A, B, and C lie on a line with point A lying between B and C. Then, $\overrightarrow{AB}$ and $\overrightarrow{AC}$ are called as rays.

Thus, the name of the given figure is $\underset{\_}{\text{line}}$ and it’s symbol is $\underset{\_}{\overleftrightarrow{AB}}$.