Math Problem Statement

Use the number line to find the coordinates of the midpoint of each segment AB.

Solution

The image provided asks to find the coordinates of the midpoint of segment AB using the number line.

To solve this:

  • The coordinates of point A are at -12.
  • The coordinates of point B are at 8.

The formula for finding the midpoint MM of a segment with endpoints A(x1)A(x_1) and B(x2)B(x_2) is: M=x1+x22M = \frac{x_1 + x_2}{2}

Substituting the values of A(12)A(-12) and B(8)B(8): M=12+82=42=2M = \frac{-12 + 8}{2} = \frac{-4}{2} = -2

Thus, the coordinate of the midpoint of segment AB is -2.

Would you like any further details on this problem?

Related Questions:

  1. How do you find the midpoint of a segment in a coordinate plane?
  2. Can you use the midpoint formula in 3D geometry, and how would it change?
  3. How can midpoints be applied in dividing line segments into specific ratios?
  4. What is the geometric significance of midpoints in polygons?
  5. Can you derive the midpoint formula from basic distance properties?

Tip: Always double-check the signs of your coordinates when calculating midpoints to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Midpoints
Coordinate Plane

Formulas

Midpoint Formula M = (x1 + x2) / 2

Theorems

Midpoint Theorem

Suitable Grade Level

Grades 6-8