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Coordinate geometry example 1

Question: A point P has the coordinate is (3, 2). (1). What is the coordinate of the point symmetry to y-axis. (2). What is the coordinate of the point symmetry to the origin. (3). What is the coordinate of the point symmetry to the x-axis.

Solution:

1. The coordinate of the point P is (3, 2), which tell us, the x coordinate of the point P is 3 and y coordinate of the point P is 2, that is, x = 3 and y = 2. Now we need to find the coordinate of the point symmetry to the y-axis. The method is to keep y the same and change the sign of x. So, the coordinate of the point P symmetry to y-axis is (-3, 2).

2. To find the coordinate of the point P (x, y) symmetry to origin, the method is to change both signs of x and y. So, the coordinate of the point P symmetry to the origin is (-3, -2).

3. To find the coordinate of the point symmetry to the x-axis, the method is to keep x and change the sign of y. So, the coordinate of the point symmetry to the x-axis is (3, -2).