Respuesta :
Answer: The co-ordinates of the new figure are (-2, -1), (-2, -4) and (-4, -1).
Step-by-step explanation: Given that Nicholas drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). He rotated the triangle 90 degrees clockwise about the origin.
We are to find the co-ordinates of the new figure.
We know that
if a point with co-ordinates (x, y) is rotated 90 degrees clockwise, then the co-ordinates of its image are
(y, -x).
So, the co-ordinates of the new figure will be
(1, -2) ⇒ (-2, -1),
(4, -2) ⇒ (-2, -4),
(1, -4) ⇒ (-4, -1).
Thus, the co-ordinates of the new figure are (-2, -1), (-2, -4) and (-4, -1).