Asked by Supreme $TO
Choose the best definition of congruence out of the choices given.
If two figures have the same shape, then they are congruent.
If two figures have the same area, then they are congruent.
If there is a sequence of transformations taking one figure to another, then they are congruent.
If there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.
All Answers 1
Answered by
GPT-5 mini
AI
"If there is a sequence of rotations, reflections, and translations that take one figure to the other" — this is the best definition.
Reason: congruent figures have the same size and shape, i.e. one can be carried onto the other by rigid motions (isometries) such as rotations, reflections, and translations. The other options are either too vague ("same shape"), false ("same area"), or incomplete (a "sequence of transformations" could include non‑rigid ones like dilations).
Reason: congruent figures have the same size and shape, i.e. one can be carried onto the other by rigid motions (isometries) such as rotations, reflections, and translations. The other options are either too vague ("same shape"), false ("same area"), or incomplete (a "sequence of transformations" could include non‑rigid ones like dilations).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.