If the coordinates of the point a symmetric about the Y axis are (4, - 3), then the coordinates of the point a symmetric about the origin are (4, - 3)

If the coordinates of the point a symmetric about the Y axis are (4, - 3), then the coordinates of the point a symmetric about the origin are (4, - 3)

Point a coordinates (- 4, - 3), symmetric coordinates about the origin (4,3)

Let a (a + 1,3) and B (- 2, b-2) be known. If a and B are symmetric about the X axis, then a =? B =? About the Y axis and about the origin

(1) If two points a and B are symmetric about X axis
Then the abscissa of the two points is the same and the ordinate is opposite to each other
So a + 1 = - 2, - 3 = B-2
The solution is a = - 3, B = - 1
(2) If a and B are symmetric about the y-axis
Then the ordinates of the two points are the same and the abscissa are opposite to each other
So 3 = B-2, 2 = a + 1
The solution is a = 1, B = 5
(3) If a and B are symmetric about the origin
Then the abscissa and ordinate of two points are opposite to each other
SO 2 = a + 1, - 3 = B-2
The solution is a = 1, B = - 1

The coordinates of the point symmetric to point a (3,4) about X axis are______ The coordinates of a point symmetric about the y-axis are______ The coordinates of the point symmetrical about the origin are______ ．

According to the law of symmetrical points in the plane rectangular coordinate system, the coordinates of the points symmetrical about the x-axis with point a (3,4) are (3, - 4), the coordinates of the points symmetrical about the y-axis are (- 3,4), and the coordinates of the points symmetrical about the origin are (- 3, - 4)