Question

graph the image of square uvwx after the following glide reflection: translation 14 units down reflection across the line x = 1

Explanation:

Step1: Perform the translation

For each vertex of the square UVWX with coordinates \((x,y)\), the translation 14 units down changes the coordinates to \((x,y - 14)\).

Step2: Perform the reflection

After the translation, for a point \((x,y)\) reflected across the line \(x = 1\), the new \(x\)-coordinate is \(2 - x\) and the \(y\)-coordinate remains the same. So the new coordinates of the reflected - translated points are obtained. Then plot these new - coordinates on the graph to get the image of the square after the glide - reflection.

Since the original coordinates of the square are not given in numerical form, we can't provide the exact new coordinates. But the general procedure for graphing the image of the square after the glide - reflection is as described above.

Answer:

Graph the square with vertices obtained by first translating each vertex of the original square 14 units down and then reflecting the translated vertices across the line \(x = 1\).