Questions: Algebra II Part 1 A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90°. What are the coordinates of B'? Be sure to enclose coordinates in parentheses.

Algebra II Part 1 A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90°. What are the coordinates of B'? Be sure to enclose coordinates in parentheses.
Transcript text: Algebra II Part 1 A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90°. What are the coordinates of B'? Be sure to enclose coordinates in parentheses.
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Solution

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Solution Steps

Step 1: Identify the Original Coordinates

The original coordinates of point B are given as \( B(6, 12) \).

Step 2: Apply the 90° Rotation Transformation

To find the new coordinates \( B' \) after a 90° counterclockwise rotation around the origin, we use the transformation: \[ B' = (-y, x) \] Substituting the coordinates of B: \[ B' = (-12, 6) \]

Final Answer

The coordinates of \( B' \) after the rotation are \\(\boxed{(-12, 6)}\\).

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