Math Problem Statement
Find of the endpoint B of BD if the midpoint C is 6,4 and the endpoint D is 11, -4
Solution
To find the coordinates of endpoint of line segment given that the midpoint and the endpoint are known, we can use the midpoint formula:
Here, is the midpoint, is the known endpoint, and is the endpoint we need to find.
Using the midpoint formula:
Now, solve for and :
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For : Multiply both sides by 2: Subtract 11 from both sides:
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For : Multiply both sides by 2: Add 4 to both sides:
So, the coordinates of endpoint are .
Would you like to see the details or have any questions about the solution?
Here are 5 related questions you might find interesting:
- How do you find the midpoint between two points?
- What is the distance between the endpoints and of this segment?
- How can you verify if a point is the midpoint of a segment?
- What would be the coordinates of point if was at and was at a different location?
- How does changing the coordinates of affect the location of if remains constant?
Tip: When finding endpoints using midpoints, always remember to multiply first before performing addition or subtraction.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Midpoint Formula
Formulas
Midpoint formula
Theorems
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Suitable Grade Level
Grades 9-12
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