Math Problem Statement
BC has endpoints at B(2, 6) and C(0, 13). Find the midpoint M of BC.
Write the coordinates as decimals or integers.
Solution
To find the midpoint of a line segment BC with endpoints and , we use the midpoint formula:
Given the coordinates of and , we substitute into the formula:
So, the midpoint of BC is .
Would you like a detailed explanation of how to apply the midpoint formula in other contexts?
Here are 5 related questions:
- How do you find the distance between two points?
- What is the slope of the line passing through points B and C?
- How do you find the equation of a line passing through two points?
- What is the equation of a perpendicular bisector of the line segment BC?
- How would the midpoint formula change in three-dimensional space?
Tip: The midpoint of a line segment is always halfway between the two endpoints, making it useful for geometry and coordinate problems!
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Formulas
Midpoint Formula M = ((x1 + x2)/2, (y1 + y2)/2)
Theorems
Midpoint Theorem
Suitable Grade Level
Grades 6-8
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