Question

Write the coordinates obtained after the rotation about the origin

K (1,0), L (4,1), M (1,4) N (-2,3)
90° counterclockwise rotation
K':_ L': _ M': ____ N':___

Answer 1

The coordinates of the points after a 90° counterclockwise rotation around the origin are K': (0, 1), L': (-1, 4), M': (-4, 1), and N': (-3, -2).

Step-by-step explanation:

When performing a 90° counterclockwise rotation of points around the origin, the coordinates of a point (x, y) are transformed to (-y, x). Applying this rule to each of the given points

Point K (1,0) becomes K' (0,1).

Point L (4,1) becomes L' (-1,4).

Point M (1,4) becomes M' (-4,1).

Point N (-2,3) becomes N' (-3,-2).

Let's organize the points and their rotated counterparts as follows:

K': (0, 1)

L': (-1, 4)

M': (-4, 1)

N': (-3, -2)