Question

A triangle has vertices W(−3,7)
, Q(1,−1)
, and Z(−5,−2)
. Apply rotation mapping rules to find the coordinates of W′
after a 90-degree (counterclockwise) rotation about the origin.

Answer 1

To find the coordinates of W' after a 90-degree counterclockwise rotation about the origin, we can use the rotation mapping rules:

The coordinates of a point (x, y) after a counterclockwise rotation of 90 degrees about the origin are given by (-y, x).

Using this rule, we can find the coordinates of W' as follows:

For point W, the coordinates are W(-3, 7).
After a 90-degree counterclockwise rotation, the new coordinates of W' would be (-7, -3).

Therefore, the coordinates of W' after a 90-degree counterclockwise rotation about the origin are (-7, -3).