Question

You rotate the triangle below 180 degrees clockwise about the origin.

What are the coordinates of the new triangle?

P' ( , )


K' ( , )


Y' ( , )

Answer 1

P' = (5, 3) K'= (3,1) and Y'= (1, 4)

Explanation:

We currently have the following coördinates:

P = (-5, -3), K = (-3, -1), Y = (-1, -4)

A rotation of 180 degrees (precesily a half turn!) will give us:

P' = (5, 3) K'= (3,1) and Y'= (1, 4)

You can draw a line from K to the origin and extend this line precisely the same distance as from K to the origin. This line will end and the point (3,1). The same method can be used for the other two points.