midpoint of a segment
The midpoint of a segment is the point that divides the segment into two equal halves
The midpoint of a segment is the point that divides the segment into two equal halves. It is the point that is equidistant from both endpoints of the segment.
To find the midpoint of a segment, you can use the midpoint formula. The formula is:
Midpoint = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
Here, (x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints of the segment.
Let’s consider an example to understand how to find the midpoint of a segment.
Example: Find the midpoint of the segment with endpoints A(-3, 2) and B(5, -6).
Solution:
Using the midpoint formula, we have:
x₁ = -3, y₁ = 2 (coordinates of A)
x₂ = 5, y₂ = -6 (coordinates of B)
Applying the midpoint formula:
Midpoint = [((-3 + 5) / 2), ((2 + -6) / 2)]
= [(2 / 2), (-4 / 2)]
= [1, -2]
Therefore, the midpoint of the segment with endpoints A(-3, 2) and B(5, -6) is M(1, -2).
More Answers:
Understanding Congruent Segments in Geometry: Definition, Notation, and ApplicationThe Importance of Theorems in Mathematics: Building Foundations and Proving Mathematical Truths
How to Bisect a Line Segment: A Step-by-Step Guide to Dividing a Line Equally