Example Question - reflection over line
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
The image contains a question that reads as follows: "What is the image of (−1, −4) 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 switch the x and y coordinates of the point, and then change the sign of both. The original point is (-1, -4), so after switching the coordinates, you get (-4, -1). Then change the signs to get the reflection: (4, 1). Thus, the image of the point (-1, -4) after a reflection over the line y = -x is (4, 1).
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).
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