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: Analyze the given points

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

Step3: Identify the reflection line

Since the \(x -\)coordinate remains unchanged and the \(y -\)coordinate changes sign (\(y\to - y\)), the point is reflected across the \(x -\)axis.

Answer:

1. Reflection
2. The \(y -\)coordinate changed from \(-2\) to \(2\); therefore, the point was reflected across the \(x -\)axis.