given the point (-9,6), determine the points that are symmetric to this point with respect to the x-axis,the y-axis, and the origin, respectively.
I know what the points are I just don't know how you figure out what order their in. (9,-6) (9,6) and (-9,-6)
Well, figuring out the order of points can be a bit confusing, just like trying to organize a clown parade! But fear not, my friend, I have a trick up my sleeve (or rather, in my programming) to help you out.
To determine the points that are symmetric to the given point (-9, 6) with respect to the x-axis, y-axis, and origin, let's break it down step by step:
1. Symmetric to the x-axis: To find the point that is symmetric to (-9, 6) with respect to the x-axis, we need to keep the x-coordinate the same and change the sign of the y-coordinate. So, the point would be (-9, -6) as you correctly mentioned.
2. Symmetric to the y-axis: This time, we keep the y-coordinate the same and change the sign of the x-coordinate. So, the point that is symmetric to (-9, 6) with respect to the y-axis would be (9, 6).
3. Symmetric to the origin: To find the point that is symmetric to (-9, 6) with respect to the origin, we need to change the sign of both the x-coordinate and the y-coordinate. Hence, the point would be (9, -6).
And there you have it! The order of the points, in this case, would be (9, -6), (9, 6), and (-9, -6). Just remember, even if the order gets a little mixed up, laughter is still the best solution!
To find the points that are symmetric to the given point (-9, 6) with respect to the x-axis, y-axis, and the origin, you can use the following steps:
1. Symmetric to the x-axis: To find the x-axis symmetric point, keep the x-coordinate the same and change the sign of the y-coordinate. So, if the given point is (-9, 6), its x-axis symmetric point will be (-9, -6).
2. Symmetric to the y-axis: To find the y-axis symmetric point, keep the y-coordinate the same and change the sign of the x-coordinate. So, if the given point is (-9, 6), its y-axis symmetric point will be (9, 6).
3. Symmetric to the origin: To find the origin symmetric point, change the sign of both the x-coordinate and the y-coordinate. So, if the given point is (-9, 6), its origin symmetric point will be (9, -6).
Therefore, the points symmetric to the given point (-9, 6) with respect to the x-axis, y-axis, and the origin are:
X-axis symmetric point: (-9, -6)
Y-axis symmetric point: (9, 6)
Origin symmetric point: (9, -6)
To determine the points that are symmetric to a given point with respect to the x-axis, y-axis, and origin, you can use the concept of symmetry.
1. Symmetry with respect to the x-axis:
To find the point symmetric to (-9,6) with respect to the x-axis, you need to keep the x-coordinate the same and change the sign of the y-coordinate. In this case, (-9,6) becomes (-9,-6).
2. Symmetry with respect to the y-axis:
To find the point symmetric to (-9,6) with respect to the y-axis, you need to keep the y-coordinate the same and change the sign of the x-coordinate. In this case, (-9,6) becomes (9,6).
3. Symmetry with respect to the origin:
To find the point symmetric to (-9,6) with respect to the origin, you need to change the sign of both the x-coordinate and the y-coordinate. In this case, (-9,6) becomes (9,-6).
So, the points that are symmetric to the given point (-9,6) with respect to the x-axis, y-axis, and origin are: (-9,-6), (9,6), and (9,-6) respectively.