What is point
�
A
(
7
,
7
)
(7, 7) after a translation of
4
4 units left and
5
5 units down followed by a 180° clockwise rotation around the origin.
To find the new position of the point (7, 7) after a translation and rotation, we need to perform the following steps:
1. Translation: Move 4 units to the left and 5 units down. This means subtracting 4 from the x-coordinate and subtracting 5 from the y-coordinate.
The new coordinates after translation are: (7 - 4, 7 - 5) = (3, 2).
2. Rotation: Perform a 180° clockwise rotation around the origin. This means replacing the x-coordinate with its negative value and replacing the y-coordinate with its negative value.
The new coordinates after rotation are: (-3, -2).
Therefore, the new position of the point (7, 7) after the translation and rotation is (-3, -2).