Plotting and Reflecting Points on the Coordinate Plane

🎬 Video Tutorial

  • (0:01) What is a Coordinate Plane?: The coordinate plane has two perpendicular axes, the x-axis (horizontal) and the y-axis (vertical), intersecting at the origin (0,0).
  • (0:34) Plotting Points on a Graph (Example): To plot a point like (2,1), locate 2 on the x-axis and 1 on the y-axis, then mark the intersection.
  • (2:00) Reflecting Points on a Coordinate Plane: Reflecting over the y-axis changes the x-coordinate’s sign. Reflecting over the x-axis changes the y-coordinate’s sign. Reflecting over the origin changes both signs.
  • (3:06) How to Reflect Shapes on a Coordinate Grid: To reflect a shape, reflect each vertex (point) over the desired axis, then connect the points to form the mirrored shape.

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🍪 Quiz Time - Practice Now!​

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Plotting and Reflecting Points on the Coordinate Grid

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Q: What are the coordinates of a point located at 4 units to the left of the origin and 2 units below the origin?

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Q: Reflect the point (2, -4) over the x-axis. What are the new coordinates?

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Q: Reflect the point (-4, 6) over the origin. What are the new coordinates?

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Q: Reflect the point (2, 3) over the y-axis. What are the new coordinates?

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Q: A point is reflected over the y-axis, and its new coordinates are (3, -1). What were the original coordinates?

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Q: Reflect the point (-5, 4) first over the x-axis, then over the y-axis. What are the final coordinates?

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