If two triangles are congruent, what can be said about their areas?

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Multiple Choice

If two triangles are congruent, what can be said about their areas?

Explanation:
Two triangles that are congruent are identical in size and shape; you can move one onto the other with only sliding, rotating, or flipping. Because these are rigid motions, they preserve area. If you take a base in each triangle and the corresponding height, the area formula gives the same result for both, so the areas must be equal. Therefore, the correct statement is that their areas are equal. The other options contradict congruence: you can’t have different areas, no relation, or one being twice the other.

Two triangles that are congruent are identical in size and shape; you can move one onto the other with only sliding, rotating, or flipping. Because these are rigid motions, they preserve area. If you take a base in each triangle and the corresponding height, the area formula gives the same result for both, so the areas must be equal. Therefore, the correct statement is that their areas are equal. The other options contradict congruence: you can’t have different areas, no relation, or one being twice the other.

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