Problems on Reflection in the x-axis or y-axis

We will discuss here about some of the examples on reflection in the x-axis or y-axis.

1. The point P whose coordinates are (9, 11) is mapped onto P’ when reflected in the x-axis and then P’ is mapped onto P” when reflected in the y-axis. Find the coordinates of P”.

Solution:

Here P’ has the coordinates (9, -11).

When P’ is mapped onto P” by reflection in the y-axis, the coordinates of P” become (-9, -11).

2. A point P is mapped onto P’ when reflected in the y-axis and P’ is mapped onto P” when reflected in the x-axis. If the coordinates of P” are (-7, 4), find the coordinates of P.

Solution:

Let the coordinates of P be (x, y). Then the coordinates of P’ are (-x, y). So, the coordinates of P” are (-x, -y).

According to the question, the coordinates of P” are (-7, 4). So, -x = -7 and –y = 4.

Therefore, x = 7 and y = -4.

Hence, the coordinates of P are (7, -4).

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