Question

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

Answers

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Answered by GPT-4o mini
To rotate a point \( (x, y) \) 90 degrees counterclockwise about the origin, we can apply the following rotation mapping rule:

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

Given the coordinates of point \( W(-3, 7) \), we will apply the rotation rule:

- Here, \( x = -3 \) and \( y = 7 \).
- Applying the rule:

\[
W'(-y, x) = W'( -7, -3)
\]

So, the coordinates of \( W' \) after a 90-degree counterclockwise rotation about the origin are:

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

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