Question

point t is at (-2, 5). what are the coordinates of point t after a reflection across x = 0 and then y = 0? choose: (-2, 5) (2, 5) (2, -5) (-2, -5)

Explanation:

Step1: Reflect across \( x = 0 \) (y - axis)

The rule for reflecting a point \((x,y)\) across the y - axis (\(x = 0\)) is \((x,y)\to(-x,y)\). For the point \(T(-2,5)\), after reflection across \(x = 0\), the x - coordinate changes sign. So the new point is \((2,5)\).

Step2: Reflect the result across \( y = 0 \) (x - axis)

The rule for reflecting a point \((x,y)\) across the x - axis (\(y = 0\)) is \((x,y)\to(x,-y)\). Taking the point \((2,5)\) from Step 1, we change the sign of the y - coordinate. So the new point \(T'\) is \((2,-5)\).

Answer:

\((2, - 5)\) (corresponding to the option: (2, -5))