Question

The shape on the left is transformed to the shape on the right.

Figure A B C D is rotated to form figure A prime B prime C prime D prime.

Which of the following statements describes the transformation?
A B C D right-arrow A prime B prime C prime D prime
A prime B prime C prime D prime right-arrow A B C D
A B C D right-arrow D prime A prime C prime B prime
D prime B prime C prime A prime right-arrow C A D B

Answer 1

I don’t have the picture, so I can’t pick the correct option yet. Can you either upload the figure or describe where the primed points lie (e.g. “A′ is at the top, B′ is at the right, C′ is at the bottom, D′ is at the left”)?

If you want to check it yourself, use this quick test:

- List the vertices of the original shape in order around the figure (clockwise or counterclockwise): e.g. A → B → C → D.
- List the vertices of the image in the same direction: e.g. A′ → B′ → C′ → D′.
- A rotation preserves cyclic order (orientation). So a 90° rotation will map each original vertex to the next vertex in the prime list (A → B′, B → C′, …) or to the previous one depending on rotation direction. A 180° rotation maps A → C′, B → D′, etc.

Using that:
- If A → A′ and B → B′ etc., choose “ABCD → A′B′C′D′.”
- If A′ → A (image back to original), choose “A′B′C′D′ → ABCD.”
- If A → D′, B → A′, C → C′, D → B′ (A maps to D′), that matches “ABCD → D′A′C′B′.”
- If the correspondence is different, list the mapping and I’ll pick the matching option.

Send the picture or the positions and I’ll give the exact choice.