We will discuss here about some of the examples on reflection in the xaxis or yaxis.
1. The point P whose coordinates are (9, 11) is mapped onto P’ when reflected in the xaxis and then P’ is mapped onto P” when reflected in the yaxis. Find the coordinates of P”.
Solution:
Here P’ has the coordinates (9, 11).
When P’ is mapped onto P” by reflection in the yaxis, the coordinates of P” become (9, 11).
2. A point P is mapped onto P’ when reflected in the yaxis and P’ is mapped onto P” when reflected in the xaxis. 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).
10th Grade Math
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