Question

A triangle with vertices J(3, 0), K(4, 3), and L(6, 0) is rotated clockwise 90° about the origin. What are the new coordinates for J' K' and L' ?

Answer 1

After rotating the triangle with vertices J(3, 0), K(4, 3), and L(6, 0) clockwise 90° about the origin, the new coordinates are J'(0, -3), K'(3, -4), and L'(0, -6).

Step-by-step explanation:

To rotate a triangle with vertices J(3, 0), K(4, 3), and L(6, 0) clockwise 90° about the origin, we can use a rotation matrix or apply the rules for a 90° clockwise rotation directly. These rules state that the new coordinates ('x', 'y') of a point after a 90° clockwise rotation will be ('y', -'x').

Applying the rotation to vertex J(3, 0):
J' = (0, -3)

For vertex K(4, 3):
K' = (3, -4)

And for vertex L(6, 0):
L' = (0, -6)

Therefore, the new coordinates of the vertices after rotating the triangle clockwise 90° about the origin are J'(0, -3), K'(3, -4), and L'(0, -6).