Math Problem Statement

Q(-4,2) , R(-2.4) , S(-1,1)

Solution

It looks like you have provided three coordinate points: Q(4,2)Q(-4, 2), R(2,4)R(-2, 4), and S(1,1)S(-1, 1). Please let me know what you would like to do with these points. Here are some possibilities:

  1. Find the distances between these points.
  2. Determine if they form a specific geometric shape (like a triangle).
  3. Find the midpoint or slope of the line segments joining these points.
  4. Calculate the area of a triangle formed by these points.
  5. Verify if they are collinear.

Please clarify your request or let me know if you have a different query in mind!

Tip:

When working with coordinate geometry, always check the relationship between points (such as slope or distance) to understand the geometric properties they define.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Distance Between Points
Midpoint Formula
Slope of a Line
Area of a Triangle

Formulas

Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)
Slope formula: m = (y2 - y1)/(x2 - x1)
Area of a triangle: A = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Theorems

Collinearity Test
Geometric Properties of Triangles

Suitable Grade Level

Grades 9-11