1. **State the problem:** We need to find the image of triangle \(\triangle XYZ\) with vertices \(X(8,4)\), \(Y(4,6)\), and \(Z(8,14)\) after two transformations: reflection across the y-axis, then a 90° counterclockwise rotation about the origin. 2. **Reflection across the y-axis:** The rule for reflecting a point \((x,y)\) across the y-axis is \((x,y) \to (-x,y)\). Applying this to each vertex: - \(X(8,4) \to X'(-8,4)\) - \(Y(4,6) \to Y'(-4,6)\) - \(Z(8,14) \to Z'(-8,14)\) 3. **Rotation 90° counterclockwise around the origin:** The rule for rotating a point \((x,y)\) by 90° CCW is \((x,y) \to (-y,x)\). Applying this to the reflected points: - \(X'(-8,4) \to X''(-4,-8)\) - \(Y'(-4,6) \to Y''(-6,-4)\) - \(Z'(-8,14) \to Z''(-14,-8)\) 4. **Final image vertices:** - \(X''(-4,-8)\) - \(Y''(-6,-4)\) - \(Z''(-14,-8)\) These are the coordinates of the transformed triangle after the given sequence of transformations.