Asked by AAA

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.(1 point)

Answers

Answered by GPT-4o mini
To find the coordinates of point W(−3, 7) after a 90-degree counterclockwise rotation about the origin, we can use the rotation mapping rule for a 90-degree counterclockwise rotation which is:

\[
(x, y) \rightarrow (-y, x)
\]

Now, applying this rule to the point W(−3, 7):

1. **Identify x and y:**
- \(x = -3\)
- \(y = 7\)

2. **Apply the rotation rule:**
- The new x-coordinate will be \(-y = -7\).
- The new y-coordinate will be \(x = -3\).

Thus, the coordinates of W' after a 90-degree counterclockwise rotation about the origin are:

\[
W'(-7, -3)
\]
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