Midpoint Formula Worksheets

There are six sets of coordinate geometry worksheets:

• Midpoint Formula
  
• Distance Formula
  
• Slope Formula
  
• Standard Form & Slope-Intercept Form
  
• Parallel Lines
  
• Perpendicular Lines
  

Examples, solutions, videos, and worksheets to help grade 7 students learn how to use the midpoint formula to find the midpoint between two points on the coordinate plane.

How to use the Midpoint Formula to find the midpoint between two points?

There are two sets of Midpoint Formula worksheets:

• Points in the first quadrant
• Points in four quadrants

The midpoint formula is used to find the coordinates of the midpoint between two points in a two-dimensional Cartesian coordinate system (x, y). The midpoint is the point that lies exactly halfway between the two given points.

The midpoint formula can be expressed as follows:

(x, y) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

In this formula:

• (x₁, y₁) are the coordinates of the first point.
• (x₂, y₂) are the coordinates of the second point.
• (x, y) are the coordinates of the midpoint.

To find the x-coordinate of the midpoint, you add the x-coordinates of the two points and divide the sum by 2.
To find the y-coordinate of the midpoint, you add the y-coordinates of the two points and divide the sum by 2.

Example:
Find the midpoint between the two points A(2, 4) and B(6, 8).

Using the midpoint formula:
M(x, y) = ((2 + 6) / 2, (4 + 8) / 2)
= (8 / 2, 12 / 2)
= (4, 6)

So, the midpoint between points A and B is M(4, 6).

Have a look at this video if you need to review how to use the midpoint formula.

• How to use the midpoint formula?

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Midpoint Formula Worksheets.

 

More Midpoint Formula Worksheets

Printable
(Answers on the second page.)
Midpoint Formula Worksheet #1 (Points in the first quadrant)
Midpoint Formula Worksheet #2 (Points in four quadrants)

Online
Quadrants of Coordinates
Slope of a Line
Slope and Intercept of a Line

Midpoint Formula 1
Midpoint Formula 2

Distance Formula 1
Distance Formula 2

Related Lessons & Worksheets

Midpoint Formula

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