Math Problem Statement

Find the coordinates of G if F (1, 3.5) is the midpoint of

GJ‾ just give answer don't show steps

Solution

The coordinates of GG are (4,5)(-4, 5).

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Here are 5 related questions for further exploration:

  1. How do you calculate the midpoint of a line segment?
  2. What are the coordinates of J if G is known and F is the midpoint?
  3. How does the distance formula relate to finding midpoints?
  4. Can you find the slope of the line passing through G and F?
  5. What is the equation of the line passing through points G and F?

Tip: The midpoint formula averages the coordinates of two endpoints to find the middle point.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Midpoint of a Line Segment

Formulas

Midpoint formula: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Theorems

Midpoint Theorem

Suitable Grade Level

Grades 6-8