Question

figure x is the result of a transformation on figure w. which transformation would accomplish this? answer a reflection over the x - axis a rotation 90° clockwise about the origin a reflection over the y - axis a rotation 90° counterclockwise about the origin

Explanation:

A reflection over the \(y\)-axis changes the sign of the \(x\)-coordinate of each point. For example, if a point \((x,y)\) is reflected over the \(y\)-axis, it becomes \((-x,y)\). Looking at Figure \(W\) and Figure \(X\), we can observe that the \(y\)-coordinates of the corresponding points remain the same and the \(x\)-coordinates change their signs. This is the property of a reflection over the \(y\)-axis.
A reflection over the \(x\)-axis would change the sign of the \(y\)-coordinate. A rotation \(90^{\circ}\) clockwise about the origin would transform a point \((x,y)\) to \((y, -x)\). A rotation \(90^{\circ}\) counter - clockwise about the origin would transform a point \((x,y)\) to \((-y,x)\).

Answer:

C. A reflection over the \(y\) - axis