Q:

please help!!Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (5, -2) 3. (5, 2); 270° (2, 5) 4. (-5, 2); 90° (-5, 2) 5. (-5, 2); 180° (-2, 5) 6. (-5, 2); 270° (2, -5) 7. (-2, 5); 90° (-5, -2) 8. (5, -2); 180° (5, 2)

Accepted Solution

A:
The 3 rotations are:90°  → (2, -5)180° → (-5, -2)270° → (-2, 5)How to work with clockwise rotations?For a given point (x, y), the clockwise rotations will move the point along the direction in which the arms of a clock move.So, if we have the point (5, 2), which is on the first quadrant, and we move it 90° clockwise, so, the x and y-values interchange, and the y-value becomes negative.So the image is (2, -5).If we apply a 180° rotation, we will move the point to the third quadrant, here we only change the sign of both values.The image will be: (-5, -2).For a 270° rotation we will go the the second quadrant, this is like the first rotation we did, but this time the x-value will be the one that becomes negative. So we get the image: (-2, 5).These are the 3 rotations.If you want to learn more about transformations, you can read: