Concept 6 of 8Foundation
Watch on YouTubeVideoReflecting points on a grid
On a coordinate grid, reflection follows simple rules:
- Reflect across x-axis: (x, y) → (x, −y)
- Reflect across y-axis: (x, y) → (−x, y)
- Reflect across line y = x: (x, y) → (y, x) — swap!
- Rotate 180° around origin: (x, y) → (−x, −y)
Example
Point (3, 5) reflected across x-axis becomes (3, −5).
Reflected across y = x becomes (5, 3).
Reflected across y = x becomes (5, 3).
💡 Tip:Reflection preserves the distance from the mirror line. The image is as far behind the line as the object is in front.
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5 questions to check what you just read.
0 / 5
- Q1.Reflect (3, 5) across x-axis:
- Q2.Reflect (−4, 2) across y-axis:
- Q3.Reflect (6, 1) across y = x:
- Q4.Reflect twice across x-axis:
- Q5.Point (0, 0) reflected across ANY axis stays at: