Find the reflection of the point (-5, 2) in (a) the x-axis, (b) the y-axis, (c) the origin.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the reflection of the point in (a) the x-axis, (b) the y-axis, (c) the origin. In which quadrant is each image?
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. (a). , in quadrant III.
Step 2. (b). , in quadrant I.
Step 3. (c). , in quadrant IV.
Answer: , and . The point and its three images fill all four quadrants.
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