Example Question - point reflection
Here are examples of questions we've helped users solve.
Reflection over Line y = -x in Mathematics
The image contains a mathematical question: "What is the image of (3, -2) after a reflection over the line y = -x?" To find the image of a point after a reflection over the line y = -x, you need to swap the x and y coordinates of the point and change their signs. For the point (3, -2), swapping the coordinates gives us (-2, 3). Then change the signs to get the reflected point, which would be (2, -3). Therefore, the image of the point (3, -2) after a reflection over the line y = -x is (2, -3).
Reflection Over Line y = x
In this case, you want to find the image of the point (0, -8) after a reflection over the line y = x. When reflecting a point over the line y = x, the x-coordinate and y-coordinate of the original point are swapped. The point's new location would have its coordinates reversed; that is, the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the x-coordinate. Therefore, the image of the point (0, -8) after the reflection would be at (-8, 0).
Reflecting a Point over y = -x Line
To find the image of a point after a reflection over the line y = x, you would normally swap the x- and y-coordinates of the point. However, the line given in this question is y = -x, which means we need to swap the coordinates and change their signs. The point given is (-7, 5). After reflecting this point over the line y = -x, the x-coordinate becomes -5 and the y-coordinate becomes 7, because you swap them and change the signs. Hence, the image of point (-7, 5) after a reflection over the line y = -x is (-5, 7).
Point Reflection Over Y-Axis
To find the image of the point (8, 4) after a reflection over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflecting over the y-axis mirrors the point to the opposite side of the y-axis horizontally, but does not change its vertical position. Therefore, the image of (8, 4) after a reflection over the y-axis is (-8, 4).
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com