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Algebra and Graphs

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Plotting and Reflecting Points on the Coordinate Plane

Algebra and Graphs Plotting and Reflecting Points on the Coordinate Plane
Courses Overview

🎬 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.

📂 Revision Cards

A coordinate plane showing positive and negative numbers, with the origin marked at (0,0).
1) The Coordinate Plane
Plotting points on a coordinate plane with positive and negative coordinates.
2) Plotting Points on Coordinate Plane
Explanation on how to reflect (-3, 2) on a coordinate grid across the y-axis to (3, 2), by changing the sign of x.
3) Reflecting Points over Y-axis
Explanation on how to reflect (-3, 2) on a coordinate grid across the x-axis to (-3, -2), by changing the sign of y.
4) Reflecting Points over X-axis
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.
5) Reflecting Points over the Origin
Reflecting a triangle over the y-axis by changing the sign of the x-coordinate of all points.
6) Reflecting Shapes over Y-axis

🍪 Quiz Time - Practice Now!​

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