Question

extra practice level up your skills! 1. identify the type of rigid motion shown as a reflection, translation, or rotation. 2. 3. suppose the coordinates of a are (5, -2) and the coordinates of a are (5, 2). describe the transformation of a. the x - coordinate stayed the same, but the y - coordinate changed from __ to ; therefore, the point was reflected across the __.

Explanation:

Step1: Recall reflection rules

When a point \((x,y)\) is reflected across the \(x -\)axis, the transformation rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule

Given the original point \(A=(5,2)\) and its image \(A'=(5, - 2)\). Here, \(x = 5\) (remains the same) and \(y = 2\) changes to \(y=-2\).

Answer:

The point \(A=(5,2)\) is reflected across the \(x -\)axis.