Plotting and Reflecting Points on the Coordinate Plane
Learn how to read, plot, and reflect points on a coordinate plane. Let’s get started! 🚀
Video Lesson
Watch and learn the basics
Flashcards
Review key concepts visually
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🛎️ 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
Test your understanding
What are the coordinates of a point located at 4 units to the left of the origin and 2 units below the origin?
Correct! 🎉 +10 pointsNot quite right
Moving 4 units left gives an x-coordinate of -4, and 2 units down gives a y-coordinate of -2.
Reflect the point (2, -4) over the x-axis. What are the new coordinates?
Correct! 🎉 +10 pointsNot quite right
Reflecting over the x-axis changes the y-coordinate's sign, so (2, -4) becomes (2, 4).
Reflect the point (-4, 6) over the origin. What are the new coordinates?
Correct! 🎉 +20 pointsNot quite right
Reflecting over the origin changes the signs of both coordinates, so (-4, 6) becomes (4, -6).
Reflect the point (2, 3) over the y-axis. What are the new coordinates?
Correct! 🎉 +20 pointsNot quite right
Reflecting over the y-axis changes the sign of the x-coordinate, so (2, 3) becomes (-2, 3).
A point is reflected over the y-axis, and its new coordinates are (3, -1). What were the original coordinates?
Correct! 🎉 +20 pointsNot quite right
Reflecting over the y-axis changes the sign of the x-coordinate, so the original point was (-3, -1).
Reflect the point (-5, 4) first over the x-axis, then over the y-axis. What are the final coordinates?
Correct! 🎉 +30 pointsNot quite right
Reflecting over the x-axis changes the y-coordinate's sign, then reflecting over the y-axis changes the x-coordinate's sign, resulting in (5, -4).
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Interactive Activity
Visualise how points change when reflected across axes
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