Question

Which methods could you use to calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (0, 0) and (20, 0)? Check all that apply.

Answer 1

The x-coordinate of the midpoint of a horizontal line segment from (0, 0) to (20, 0) can be calculated by averaging the x-coordinates of the endpoints, which results in the midpoint being at (10, 0).

Step-by-step explanation:

To calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (0, 0) and (20, 0), we can employ simple arithmetic. The formula for the midpoint M of a line segment with endpoints A(x₁, y₁) and B(x₂, y₂) is M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2). Applying this formula to the given endpoints:

• First find the average of the x-coordinates: (0 + 20) / 2 = 10
• Since the line is horizontal and the y-coordinates of both endpoints are 0, the y-coordinate of the midpoint is also 0.

Therefore, the midpoint M is at (10, 0).

Answer 2

Answer: C, is really the only practical solution imo

Step-by-step explanation:

We are only doing the x coords here, so im going to leave the y values out of the midpoint formula.

I could write the midpoint formula, but its a lot easier to truly understand what it means. When youre taking the midpoint of a line, you want to know the middle, obviously, which means the average among the line. The average of anything is adding the two values then dividing them by 2.

In this case, it is 0 + 20 = 20. Then divide by 2 to get 10. The value of the x coord of the midpoint is 10.