Definition: A vector N that is orthogonal to every vector in a plane is called a normal vector to the plane. Origin Symmetry is when every part has a matching part: the same distance from the central point but in the opposite direction. The symmetric equations of the line are x - 2 = y - 1 2 = z - 5 3. If you replace with and with the result is, which on multiplication of both sides by gives, the original equation. Technique to get started: 1) Draw the line of each individual term on the graph 2) Follow the combined pole-zero at the origin line back to the left side of the graph. This graph is symmetric with respect to the origin. See also.Ī graph is symmetric with respect to the origin if whenever a point is on the graph the point is also on the graph. Formally, a graph is symmetric with respect to the origin if it is unchanged when reflected across both the x-axis and y-axis. Describes a graph that looks the same upside down or right side up.
A graph is symmetric with respect to the y-axis if whenever a point is on the graph the point is also on the graph.Īlso Know, what is symmetry about the origin? Symmetric with Respect to the Origin. This line is called an axis of symmetry of the graph. Subsequently, one may also ask, what does it mean if a graph is symmetric?Ī graph is symmetric with respect to a line if reflecting the graph over that line leaves the graph unchanged. Note that if (x, y) is a point on the graph, then (x, - y) is also a point on the graph. The following graph is symmetric with respect to the x-axis (y = 0). If a graph does not change when reflected over a line or rotated around a point, the graph is symmetric with respect to that line or point.