Given a point (-2,5), determine a point that satisfies the specified symmetry.
1.)Origin
2.)y-axis
3.)x-axis
4.)y=x
Better review your symmetry section. No ideas on any of them?
so you don't know
To find a point that satisfies the specified symmetry, you need to understand the concept of symmetry and how it applies to each scenario. Let's go through each symmetry case and determine a point that satisfies it based on the given point (-2,5):
1.) Origin Symmetry:
In this case, you need to find a point that is symmetric to (-2,5) with respect to the origin, which is the point (0,0). The x-coordinate of the symmetric point will be the negative value of the x-coordinate of the given point, and the y-coordinate will be the negative value of the y-coordinate. So, the symmetric point is (2,-5).
2.) Y-axis Symmetry:
For y-axis symmetry, you need to find a point that is symmetric to (-2,5) with respect to the y-axis. The x-coordinate of the symmetric point remains the same, but the y-coordinate will have the same value, but with the opposite sign. Therefore, the symmetric point is (2,5).
3.) X-axis Symmetry:
To find a point that is symmetric to (-2,5) with respect to the x-axis, the x-coordinate remains the same, but the y-coordinate will be the negative value of the y-coordinate of the given point. Thus, the symmetric point would be (-2,-5).
4.) Y = X Symmetry:
In this case, you need to find a point symmetric to (-2,5) based on the line y = x. The symmetry occurs when the x-coordinate and the y-coordinate of the given point (-2,5) are swapped. So, the symmetric point would be (5,-2).
By following these steps, you can find the points that satisfy the specified symmetry for the given point (-2,5).