Math Problem Statement
Find the coordinates of the midpoint of a segment with the endpoints (2, 8) and (8, 0).
Solution
To find the midpoint of a segment with the given endpoints and , you can use the midpoint formula:
Substitute the given coordinates:
- ,
- ,
The coordinates of the midpoint are .
Would you like more details or have any further questions?
Here are five related questions to deepen your understanding:
- How do you calculate the distance between two points?
- What is the slope of the line segment between and ?
- Can you find the equation of the line passing through the points and ?
- How do you calculate the midpoint of three-dimensional points?
- What happens to the midpoint if both points are translated by a vector?
Tip: The midpoint formula is essentially finding the average of the coordinates, which splits the segment into two equal parts.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Midpoint Calculation
Formulas
Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)
Theorems
-
Suitable Grade Level
Grades 6-8