How it works
The signs of a pair tell its corner: (+, +) is the top right, quadrant 1. (−, +) is the top left, quadrant 2. (−, −) is the bottom left, quadrant 3. (+, −) is the bottom right, quadrant 4.
A mirror changes the signs: across the x-axis flips the sign of y, and across the y-axis flips the sign of x.
Across both axes flips both.
Worked examples
Which corner?
- The point is (5, 1).
- Both numbers are positive.
- It is in quadrant 1, top right.
Mirror over the x-axis
- A is at (−3, −2).
- Across the x-axis the y sign flips.
- The mirror point is (−3, 2).
Mirror over both
- A is at (−10, 3).
- Both signs flip.
- The mirror point is (10, −3).
A taste of the worksheet
These are the first problems of set A. The printable sheet has many more, with an answer key.
- Which pair names point A? Say across first, then up.
- What is the y-number of point B? ___
- Point P is at (−3, −2). Which corner is it in?
- The point (2, −3) is in the top right corner.
- Join each point to the corner it is in.