Question

The coordinates A (4, 4) and A' (-1, -4) on the given cartesian plane are reflections of each other along the x-axis. However, A’ has been plotted incorrectly. Select the option which gives the correct coordinates of A’.

• A. 4 units toward the negative y-axis
• B. 2 units toward the positive x-axis and 6 units toward the positive y-axis
• C. 6 units toward the positive x-axis and 2 units toward the positive y-axis
• D. 5 units toward the positive x-axis

Answer 1

The correct option is D 5 units toward the positive x-axis


A reflection or a mirror image is where a point appears to be at the same distance but in the opposite direction across the given axis.

The points A and A' are reflections of each other across the x-axis.
Therefore,
Coordinates of A' = (4, -4)

To plot the correct reflection of A, we have to move A’ 5 units toward the positive x-axis.