Question

Write the mirror images for (-2, -3) for x-axis and y-axis.
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Answer 1

Concept to be used

• Mirror Images

To show the concept

• Midpoint Formula

Showing the Concept

You might have wondered why the mirror image becomes:

• (x, -y) against x-axis ...(1)
• (-x, y) against y-axis ...(2)
• (-x, -y) against origin ...(3)

This is because the midpoint between them must be

• (x, 0) against y=0 ...For (1)
• (0, y) against x=0 ...For (2)
• (0, 0) against x=0 and y=0 ...For (3)

Then we can find those with the midpoint formula.

Solving

Against x-axis, the midpoint must become (-2, 0).

• $\sf{\dfrac{y-3}{2} =0}$ therefore (-2, 3) is the mirror image.

Against y-axis, the midpoint must become (0, -3).

• $\sf{\dfrac{x-2}{2} =0}$ therefore (2, -3) is the mirror image.