Asked by Lemy

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.
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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, then they are congruent."

Reason: congruence means same size and shape, i.e. related by rigid motions (isometries). "Same shape" or "same area" alone can fail (different sizes or shapes with equal area). A generic "sequence of transformations" could include dilations, which do not preserve congruence.