Subjects geometry

Reflection X Axis 79Be2C

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1. **State the problem:** We need to graph the image of triangle \(\triangle RST\) after reflecting it over the x-axis. 2. **Reflection over the x-axis rule:** When a point \((x,y)\) is reflected over the x-axis, its image is \((x,-y)\). 3. **Given points:** - \(R(-4,-10)\) - \(S(-2,-10)\) - \(T(-2,-4)\) 4. **Apply the reflection rule:** - \(R' = (-4, -(-10)) = (-4, 10)\) - \(S' = (-2, -(-10)) = (-2, 10)\) - \(T' = (-2, -(-4)) = (-2, 4)\) 5. **Result:** The reflected triangle \(\triangle R'S'T'\) has vertices \((-4,10), (-2,10), (-2,4)\) in the top-left quadrant. This completes the reflection over the x-axis.
RSTR'S'T'