# Find The Midpoint Given Two Points Worksheet

## 6 problems

To find the midpoint between two points, identify the coordinates (x_1, y_1) and (x_2, y_2), take the average of the x-coordinates and the average of the y-coordinates. The midpoint is the point with the calculated x-coordinate (x_1 + x_2)/2 and y-coordinate (y_1 + y_2)/2.

Midpoint = ((x_1 + x_2)/2, (y_1 + y_2)/2)

This concept is widely used in various fields, including geometry, physics, and computer graphics.

Algebra 1
Coordinate Plane

## How Will This Worksheet Titled "Find the Midpoint Given Two Points" Benefit Your Student's Learning?

• Develops a clear understanding of what a midpoint is and how it is calculated.
• Provides practice in using the midpoint formula to find the coordinates of the midpoint.
• It helps students to find missing endpoints, determine fractional distances, or so...
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## Solved Example

Q. $K(2,9)$ and $L(2,3)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment?
Solution:
1. Midpoint Formula: Identify the midpoint formula for a line segment.$\newline$The midpoint is the average of the coordinates of the endpoints.$\newline$Midpoint formula: $\newline$$M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$
2. Identify Endpoints: Endpoints: $K(2, 9)$ and $L(2, 3)$$\newline$
3. Substitute Coordinates:Substitute $(2, 9)$ for $(x_1, y_1)$ and $(2, 3)$ for $(x_2, y_2)$ into the midpoint formula.$\newline$$M = \left(\frac{2 + 2}{2} , \frac{9 + 3}{2}\right)$
4. Calculate the Mid-point: Calculate the coordinates of $M$.$\newline$$M = \left(\frac{2 + 2}{2} , \frac{9 + 3}{2}\right)$$\newline$$M = \left(\frac{4}{2}, \frac{12}{2}\right)$$\newline$$M = (2, 6)$

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