Question

Angle M' is the result of its pre-image, angle M sliding horizontally in a positive or negative direction and vertically in a positive or negative direction.

Answer 1

That transformation is a translation (a “slide”). A translation by vector <h, k> moves every point (x, y) of angle M to (x + h, y + k), producing angle M'.

- h > 0: right; h < 0: left.
- k > 0: up; k < 0: down.

Properties: distances, angle measures and orientation are preserved (M and M' are congruent). If you know one pair of corresponding points P(x,y) and P'(x',y'), then h = x' − x and k = y' − y.