Question

geometry - kochanowska - f-4,m-4,r-4,t-4,w-4 - kochanowska, jolanta u
topic 3: assessment form a
point t is at (-2, 5). what are the coordinates of point t after
a reflection across x = 0 and then y = 0? ( , )

Explanation:

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

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

Step2: Reflect the new point over \( y = 0 \) (x - axis)

The rule for reflecting a point \((x,y)\) over 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 coordinates are \((2,-5)\).

Answer:

\(2\), \(-5\)