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Midpoint Formula Visualization

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About This Diagram

This two-panel diagram shows how the midpoint formula finds the average position between two points. The visual representation connects directly to the calculation steps.

The Two Panels

Panel Content Description
Left Visual Representation Coordinate grid with points A, B, and midpoint M
Right Calculation Steps Formula substitution and verification

Key Concepts

  • Midpoint Formula: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
  • Averaging: The midpoint x-coordinate is the average of the two x-coordinates
  • Verification: Check that M is equidistant from both endpoints

Example Values

  • Point A: (2, 1)
  • Point B: (8, 7)
  • Midpoint M: (5, 4)

Learning Objectives

  • Understand how the midpoint formula finds the average position
  • Apply the formula to calculate midpoints between any two points
  • Verify results by checking equal distances

Bloom's Taxonomy Level

Understanding and Applying - Formula application and verification.

Iframe Embed Code

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        height="452px"
        width="100%"
        scrolling="no"></iframe>