Question

The vertices of figure KLMN are K(−2, −1), L(−2, −3), M(−5, −3), and N(−5, −1). If figure KLMN is reflected across the line x = 2, find the coordinates of vertex Nˊ.

Answer 1

N'(9, -1)

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.

Reflection is the flipping of an object over the line of reflection. If the point A(x, y) is reflected over the line x = a, the y coordinate would remain but the x coordinate will change.

The vertices of figure KLMN are K(−2, −1), L(−2, −3), M(−5, −3), and N(−5, −1). If figure KLMN is reflected across the line x = 2, the new points would be at:

K'(6, -1), L'(6, -3), M'(9, -3) and N'(9, -1)