Math Problem Statement

Identify the quadrant of points A, B, C, and D on a coordinate grid.

Solution

The image shows a coordinate grid with points labeled A, B, C, and D. The task seems to involve identifying which quadrant each point is located in. Here's the analysis of each point:

  1. Point A: This point is located at (6,4)(-6, 4).

    • Quadrant: II (Second Quadrant, where xx is negative and yy is positive)
  2. Point B: This point is located at (2,6)(-2, 6).

    • Quadrant: II (Second Quadrant, where xx is negative and yy is positive)
  3. Point C: This point is located at (2,2)(2, -2).

    • Quadrant: IV (Fourth Quadrant, where xx is positive and yy is negative)
  4. Point D: This point is located at (4,6)(4, 6).

    • Quadrant: I (First Quadrant, where both xx and yy are positive)

In summary, the points are located in the following quadrants:

  • Point A: Quadrant II
  • Point B: Quadrant II
  • Point C: Quadrant IV
  • Point D: Quadrant I

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How do you determine which quadrant a point lies in based on its coordinates?
  2. What are the signs of xx and yy coordinates in each of the four quadrants?
  3. What happens when a point lies on the x-axis or y-axis instead of within a quadrant?
  4. How would you plot a point with negative xx and negative yy coordinates?
  5. What are the coordinates of a point that is located in Quadrant III?

Tip: To easily remember the signs of coordinates in each quadrant, you can think of the quadrants in a counter-clockwise direction, starting from the top right (Quadrant I), where both xx and yy are positive.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Quadrants

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8