Math Problem Statement
Find the midpoint of the segment with the following endpoints. left parenthesis, 7, comma, 5, right parenthesis, and , left parenthesis, 0, comma, 10, right parenthesis (7,5) and (0,10)
Solution
To find the midpoint of a segment with given endpoints, you use the midpoint formula:
Given the endpoints and , we can substitute the values into the formula:
Now, calculate the coordinates:
So, the midpoint of the segment is .
Would you like more details or have any questions? Here are some related questions:
- How do you find the distance between the endpoints of a segment?
- What is the significance of the midpoint in geometry?
- How do you find the equation of the line that passes through these points?
- What happens if the endpoints of the segment are the same point?
- How do you find the midpoint in 3D space?
Tip: The midpoint is often referred to as the "average" of the x-coordinates and y-coordinates of the endpoints.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Midpoint Formula
Formulas
Midpoint formula: \( \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \)
Theorems
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Suitable Grade Level
Grades 6-8