Midpoint Formula in Geometry
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Questions and Answers

What is the formula for finding the midpoint of a line segment?

($\frac{x_1 + x_2}{2}$, $\frac{y_1 + y_2}{2}$)

What does ($x_m$, $y_m$) represent in the midpoint formula?

The coordinates of the midpoint

Study Notes

Midpoint Formula

  • The midpoint formula calculates the coordinates of the midpoint of a line segment connecting two points.
  • Given two points (x₁, y₁) and (x₂, y₂), the midpoint (Xm, Ym) is calculated as follows: (Xm, Ym) = ((x₁ + x₂)/2, (y₁ + y₂)/2)
  • Xm is the x-coordinate of the midpoint.
  • Ym is the y-coordinate of the midpoint.
  • (x₁, y₁) are the coordinates of the first point.
  • (x₂, y₂) are the coordinates of the second point.

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Description

This quiz focuses on the midpoint formula, which calculates the coordinates of the midpoint between two points in a coordinate system. Participants will learn how to apply the formula using specific point coordinates. Test your understanding of this fundamental concept in geometry.

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