Question

What are the coordinates of the point (-4,-10) after a 180 rotation about the orgin and then a translation 1 unit right

Answer 1

1. Rotation by 180° (clockwise or anti-clockwise) about the origin has a rule:

(x,y)→(-x,-y).

Then

(-4,-10)→(4,10).

2. Translation 1 unit to the right has a rule:

(x,y)→(x+1,y).

Then

(4,10)→(5,10).

3. After rotation and translation the image of point (-4,-10) is point (5,10).

Answer: (5,10).