Question

which of the pictures below show a reflection (flip) of the figure about a point? a. y b. w c. x d. z

Explanation:

Step1: Recall reflection about a point

A reflection of a figure about a point swaps the position of the figure such that the point of reflection is the mid - point between corresponding points of the original and the reflected figure. In terms of a two - colored hexagon, the colors will be swapped relative to the point of reflection.

Step2: Analyze each option

• Option W: The hexagon is flipped horizontally. The green and white parts are swapped as if reflected about a vertical line passing through the point. This is a reflection about a point.
• Option X: The orientation of the hexagon is changed in a way that is not a simple reflection about a point. It looks more like a rotation or a different transformation.
• Option Y: The hexagon has the same orientation and color - position as the original, so it is not a reflection.
• Option Z: The two hexagons are identical in orientation and color - position, so it is not a reflection.

Answer:

B. W