Plotting and Reflecting Points on the Coordinate Plane

Learn how to read, plot, and reflect points on a coordinate plane. Let’s get started! 🚀

Plotting and Reflecting Points on the Coordinate Plane - introduction visual

Video Lesson

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Flashcards

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Coordinate system graph showing positive and negative numbers, with the origin marked at (0,0).Locating points on a coordinate system with positive and negative coordinates.Explanation on how to reflect (-3, 2) on a coordinate grid across the y-axis to (3, 2), by changing the sign of x.Explanation on how to reflect (-3, 2) on a coordinate grid across the x-axis to (-3, -2), by changing the sign of y.Explanation on how to reflect (-3, 2) on a coordinate grid across the origin to (3, -2), by changing both the signs of x and y.Reflecting a triangle over the y-axis by changing the sign of the x-coordinate of all points.

🛎️ The Coordinate System

  • The x-axis is horizontal and the y-axis is vertical.
  • The point where they meet is called the origin (0,0).

🛎️ How to Locate a Point on a Grid

  • A point is written as (x, y).
  • Move along x first, then up or down y.

🛎️ Reflecting Points over y-axis

  • Change the sign of the x-coordinate.
  • The y-coordinate stays the same.

🛎️ Reflecting Points over x-axis

  • Change the sign of the y-coordinate.
  • The x-coordinate stays the same.

🛎️ Reflecting in the Origin

  • Change the sign of both x and y.
  • The point moves to the opposite quadrant.

🛎️ Reflecting Shapes

  • Reflect every vertex using the same rule.
  • Then connect the reflected points to form the new shape.

Practice Questions

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Interactive Activity

Visualize how points change when reflected across axes

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