Question

Triangle OWL was rotated to create triangle O'W'L' . Describe the transformation using details in degrees

Answer 1

It is a 90 degrees counterclockwise

Answer 2

The triangle OWL rotated 90° counterclockwise about the origin to get O'W'L' or the triangle OWL rotated 270° clockwise about the origin to get O'W'L'.

Explanation:

From the given figure it is clear that the vertices of OWL are O(1,2), W(3,1) and L(2,-2).

The vertices of O'W'L' are O'(-2,1), W'(-1,3) and L'(2,2).

The relation between pre-image and image is

`(x,y)\rightarrow (-y,x)`

If a figure rotated 90 counterclockwise about the origin or rotated 270 clockwise about the origin, then relation between pre-image and image is

`(x,y)\rightarrow (-y,x)`

Therefore the he triangle OWL rotated 90° counterclockwise about the origin to get O'W'L' or the triangle OWL rotated 270° clockwise about the origin to get O'W'L'.