Question

Nicholas drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). He rotated the triangle 90 degrees clockwise about the origin. What are the coordinates of the new figure

Answer 1

Hello,

Here is the first methode. (see the picture)

Answer 2

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).