The Midpoint Formula – Practice Problems
Having fun while studying, practice your skills by solving these exercises!
- Video
- Practice Problems
To find the midpoint of a segment in a plane, we should use the midpoint formula. The coordinates of the endpoints of the segment play an important role in the formula; the midpoint formula states that the midpoint of a segment is the average of the x- and y – coordinates of its endpoints pairing together.
For example, let’s find the midpoint of the segment on a plane whose endpoints are the coordinates (5, 1) and (7, 3). We know that the x- coordinates of the points are 5 and 7 and the y – coordinates are 1 and 3. Getting the average of both x – and y – coordinates, we get (5+7)/2 = 6 and (1+3)/2 = 2. Pairing our answers, we then have that the midpoint of the segment is (6, 2).
The midpoint formula is essential in many real life situations. For example, you want to cut a stick in half but you don’t have any measuring devices. In this situation, you can still cut the stick in half by placing the stick on the graphing paper and determine the coordinates of its ends. Then apply the midpoint formula to find the midpoint of the stick.
Represent complex numbers and their operations on the complex plane.
CCSS.MATH.CONTENT.HSN.CN.B.6
Determine the midpoint. |
Calculate the three points. |
Find the midpoints of the given points. |
Calculate the meeting point of Imke and her friend. |
Identify the midpoint formula. |
Find the midpoints of the given points. |