Regular Hexagon ABCDEF rotates 240' counterclockwise about its center to produce hexagon A'B'C'D'E'F'. Which points will A' and

Response:

A' will match up with point C in the original figure, while B' will correspond with point D in the original figure.

Detailed explanation:

A Regular Hexagoncan be thought of as a circle segmented into six points along the circumference, which are divided by angles of 60° (remember that 6 times 60° equals 360°).

Next, we label each vertex clockwise as ABCDEF, and then we rotate the hexagon around its center (in a counterclockwise direction)... the original vertices ABCDEF are relabeled as A'B'C'D'E'F' in the newly rotated hexagon.

With a rotation of 240°, the points will align with certain original points: point A will jump four positions, similar to point B.

Hence, point A after rotation, (which is A') will align with point C before the rotation, and point B after rotation, (which is B') will align with point D before the rotation.