Question

coordinate plane with x-axis from -6 to 5, y-axis from -5 to 5, grid lines. top figure has points g(1,5), f(2,5), d(4,5), c(5,5), a(2,1), b(4,1), e(3,2). bottom figure has points a(2,-1), b(4,-1), e(3,-2), d(4,-5), c(5,-5), f(2,-5), g(1,-5).

Explanation:

Step1: Identify Coordinates

Assume we analyze a transformation (e.g., reflection over x - axis). Take point \( A(2,1) \), after reflection, \( A'(2, - 1) \); \( E(3,2) \to E'(3, - 2) \); \( G(1,5) \to G'(1, - 5) \).

Step2: Determine Transformation

For a point \( (x,y) \), after reflection over x - axis, it becomes \( (x, - y) \). So the transformation is reflection across the x - axis.

Answer:

The figure is reflected across the x - axis (coordinate transformation: \((x,y)\to(x, - y)\))