Subjects geometry

Reflection Y Axis 83F740

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1. **State the problem:** We are given points V(-5, -1), W(-6, -3), T(-5, -5), and U(0, -3) and asked to find their coordinates after reflecting them over the y-axis. 2. **Formula for reflection over the y-axis:** When a point $(x, y)$ is reflected over the y-axis, its x-coordinate changes sign, while the y-coordinate remains the same. The formula is: $$ (x, y) \to (-x, y) $$ 3. **Apply the formula to each vertex:** - For $V(-5, -1)$: $$ V' = (-(-5), -1) = (5, -1) $$ - For $W(-6, -3)$: $$ W' = (-(-6), -3) = (6, -3) $$ - For $T(-5, -5)$: $$ T' = (-(-5), -5) = (5, -5) $$ - For $U(0, -3)$: $$ U' = (-(0), -3) = (0, -3) $$ 4. **Final answer:** The reflected vertices over the y-axis are: $$ V'(5, -1), W'(6, -3), T'(5, -5), U'(0, -3) $$