What is point (9, 7) after a translation of 4 units left and 4 units down followed by a 180° clockwise rotation around the origin.
To find the new coordinates of the point (9, 7) after the translation and rotation, we need to apply the transformations step by step.
First, the translation moves the point 4 units to the left and 4 units down. This means we subtract 4 from the x-coordinate and subtract 4 from the y-coordinate:
New x-coordinate = 9 - 4 = 5
New y-coordinate = 7 - 4 = 3
After the translation, the point is now located at (5, 3).
Next, we apply a 180° clockwise rotation around the origin. To do this, we take the negative of both coordinates:
New x-coordinate = -5
New y-coordinate = -3
After the rotation, the point is now located at (-5, -3).
Therefore, the final coordinates of the point (9, 7) after a translation of 4 units left and 4 units down followed by a 180° clockwise rotation around the origin are (-5, -3).