Question

look at this diagram: which diagram shows quadrilateral wxyz rotated 30° counterclockwise about y?

Explanation:

Step1: Recall rotation concept

Rotation is a transformation that turns a figure around a fixed - point. When rotating a quadrilateral WXYZ 30° counter - clockwise about point Y, each point of the quadrilateral moves 30° counter - clockwise in a circular path around Y.

Step2: Visualize the new position

We would need to use the rules of rotation in a coordinate - free context. For a point (x,y) rotated θ degrees counter - clockwise about a center of rotation (a,b), the general transformation formulas are complex in a non - coordinate context. But for a simple geometric visualization, we know that the shape and size of the quadrilateral remain the same, only its orientation changes. However, since no other diagrams are provided to compare with, we assume we are just understanding the concept.

Answer:

The quadrilateral WXYZ will have its vertices W, X, and Z move 30° counter - clockwise in circular paths around point Y while maintaining the side - lengths and angle - measures of the original quadrilateral. (Since no comparison diagrams are given, this is a description of the rotation process)