HardMathematicsHigh School (9–10)GeneralCoordinate Geometry › The Cartesian PlaneConceptualBoard Exam
The point P(a, b) is reflected in the y-axis…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
The point is reflected in the y-axis. Then the image is reflected in the origin. Where does it end? Which single reflection does the same job?
Need a reminder? The key ideaShow
Reflection in the x-axis: . In the y-axis: . In the origin: . Along a line parallel to an axis, a distance is the difference of one coordinate.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. In the y-axis. .
Step 2. In the origin. .
Step 3. Compare. is the reflection of in the x-axis.
Answer: it ends at , the same as a single reflection in the x-axis.
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