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Prove the Midpoint Formula of a Line Segment

Prove the Midpoint Formula of a Line Segment
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2015-02-23 22:22
TrigonometryCoordinate GeometryGeometric Construction
In collections PARCC Math III Unit 5 Lesson 8
This example demonstrates mathematically that the calculated point is the midpoint of a line segment. Key mathematical concepts include the midpoint formula and geometric construction. GeoGebra commands used include text field, segment, and midpoint. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(A) → inputBox1
  2. Textfield(B) → inputBox2
  3. Segment(A, B) → a
  4. Midpoint(a) → M

AI Drawing Prompt Reference

Draw a line segment AB and find its midpoint M. First, input the coordinates of point A, then input the coordinates of point B, next draw the line segment AB, and finally calculate and mark the midpoint M of line segment AB.
The prompt above was compiled from the original drawing commands and is for reference only.