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Geometry

What is the midpoint formula?

What is the midpoint formula? Learn the core idea, common steps, and how to recognize this geometry concept in homework problems.

Problem Statement

What is the midpoint formula?

Step-by-step solution

Problem Statement

What is the midpoint formula?

Step-by-Step Explanation

The midpoint formula finds the point halfway between two coordinate points.

  1. Identify what the question is asking. In Geometry, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
  2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
  3. Work one step at a time and keep units, signs, and restrictions visible.
  4. Check whether the answer makes sense in the original context.

Key Formula

M=(x1+x22,y1+y22)M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

Final Answer

The midpoint formula finds the point halfway between two coordinate points. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.