Q13. - Geometry

Question

For the following figure find 

 

a. What number is halfway between 1 and 2?

b. What is the coordinate of the midpoint of $\overline{ST}$?

Step-by-Step Solution

Answer

a. The number 1.5 is halfway between 1 and 2.

b. The coordinate of the midpoint of $\overline{ST}$ is 1.5.

Part a. Step 1. Check the figure.

Consider the number line.

Part a. Step 2. Apply the concept of halfway point.

The halfway point between two numbers is the number which is exactly in the middle of the two numbers.

 

The halfway point of two numbers can be calculated by adding them together and dividing by two.

Part a. Step 3. Find the halfway point.

Find the halfway point of 1 and 2 as follows:

$$\begin{gathered} \text{halfway point=}\frac{1+2}{2} \\ =\frac{3}{2} \\ =1.5 \end{gathered}$$

 

Thus, the halfway point 1 and 2 is 1.5.

Part b. Step 1. Check the figure.

Consider the number line.

Part b. Step 2. Apply the concept of midpoint.

The middle point of a line segment is known as midpoint.

 

The midpoint of two numbers can be calculated by adding them together and dividing by two.

 

Here, the coordinate point of $S$ is 1 and coordinate point of $T$ is 2.

Part b. Step 3. Find the midpoint.

Find the midpoint of 1 and 2 as follows:

$$\begin{gathered} \text{midpoint=}\frac{1+2}{2} \\ =\frac{3}{2} \\ =1.5 \end{gathered}$$

 

Thus, the midpoint of $\overline{ST}$ is 1.5.