Question

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which of the following must be true for figures to be congruent?
○ they have the same shape only.
○ they have the same size only.
○ they have the same size and shape.

Explanation:

To determine congruent figures, recall the definition of congruence: two figures are congruent if they have the same size and shape. This means their corresponding sides and angles are equal. The option "They have the same shape only" is incorrect because congruence requires both same shape and size. "They have the same size only" is also incorrect as shape must match too. The correct option is the one stating they have the same size and shape.

Answer:

They have the same size and shape.