What is point A (6,7) after translation of 5 units left and 5 units down followed by 180 degree clockwise rotation around the origin

Answer 1

To find the new coordinates of point A after a translation of 5 units left and 5 units down, we subtract 5 from the x-coordinate and subtract 5 from the y-coordinate:

New x-coordinate = 6 - 5 = 1
New y-coordinate = 7 - 5 = 2

So, after the translation, point A becomes A' (1, 2).

To find the new coordinates of point A' after a 180 degree clockwise rotation around the origin, we take the negative of both coordinates:

New x-coordinate = -1
New y-coordinate = -2

So, after the rotation, point A' becomes A'' (-1, -2).