Question

Identify the transformation that does NOT map the figure onto itself? A)Reflect across the line y = 1 B) Reflect across the line x = 1 C) Rotate 180° about the point (1, 1) D) Rotate 180° about the origin (0, 0)

Answer 1

The correct answer is `D`.

Explanation:

If we look closer at the figure we can see that:

• `y=1` is the figure's horizontal axis of symetry,

• `x=1` is the figure's vertical axis of symetry,

• point `(1,1)` is the figure's center of symetry (point where the diagonals cross).

The above facts prove that the transformations `A`, `B`, and `C` map the given figure to itself, so the only transformation NOT mapping the figure to itself is rotating `180^o` about the origin..

So now we can write Answer: `D`.