To fill: Point of symmetric with respect to the origin if the rectangular coordinates of a point (4, − 6).
Solution:
The required point is (− 4, 6).
Given:
Point of rectangular coordinates is (4, − 6). Need to find the symmetric point with respect to the origin.
A graph is said to be symmetric with respect to the origin if, for every point (x, y) on the graph, the point (− x, − y) is also on the graph.
By the definition of symmetry, for the point (4, − 6) on the rectangular coordinate, the point (− 4, − (− 6)) is also on the rectangular coordinates.
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