Question

look at this diagram: which diagram shows quadrilateral efgh rotated 30° counterclockwise about f?

Explanation:

Step1: Recall rotation concept

A rotation of a shape about a point changes the position of the shape while keeping the distance from the center of rotation (point F here) constant for all points of the shape. In a 30 - degree counter - clockwise rotation about point F, each point of the quadrilateral EFGH moves 30 degrees counter - clockwise around F.

Step2: Analyze the given diagram

If the quadrilateral EFGH is rotated 30 degrees counter - clockwise about F, the relative positions of the vertices with respect to F change accordingly. However, without other options to compare with, we assume the diagram provided is the result of the 30 - degree counter - clockwise rotation about F as it represents the new position of the quadrilateral after the rotation transformation.

Answer:

The given diagram shows quadrilateral EFGH rotated 30° counterclockwise about F.