Question

a counterclockwise rotation of figure a, using center p, of 60°

Explanation:

Step1: Recall rotation rules

For a rotation of a figure about a point \(P\) by an angle \(\theta = 60^{\circ}\) counter - clockwise, we consider each vertex of Figure A.

Step2: Use grid properties

Since the grid is made of equilateral triangles, a \(60^{\circ}\) counter - clockwise rotation can be achieved by moving vertices along the grid lines in the counter - clockwise direction. For each vertex \(v\) of Figure A, we draw a line segment from \(P\) to \(v\), and then rotate this line segment counter - clockwise by \(60^{\circ}\) around \(P\). The new position of \(v\) is the end - point of the rotated line segment.

Step3: Re - draw the figure

Connect the new positions of all the vertices of Figure A to get the rotated figure.

Answer:

The rotated Figure A (description of the new position of Figure A after \(60^{\circ}\) counter - clockwise rotation about point \(P\) based on the above steps, which would typically involve a visual description or a new set of vertex coordinates if applicable in a coordinate - based system). Since no specific coordinates are given and this is a geometric construction, the answer is a description of the new figure's position relative to the original Figure A and point \(P\) on the grid).