Question in-tri

4.1 Lines, Angles, and Triangles - Triangle sum theorem
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In triangle A B C , AB=4,680 millimeters mm and BC=4,680 mm. Which statement is sufficient to prove that triangle A B C is equilateral?

A.

AC=4,680 mm

B.

AC=468 mm

C.

AC=46.8 mm

D.

AC=4.68 mm

In triangle A B C , A B = 4,680   millimeters   mm and B

Medium-difficulty · SAT Math · Lines, Angles, and Triangles — Triangle sum theorem. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. In an equilateral triangle, all three sides have the same length. It’s given that in triangle A B C , AB=4,680 mm and BC=4,680 mm. Therefore, if AC=4,680 mm, then all three sides of triangle A B C have the same length, so triangle A B C is equilateral. Therefore, AC=4,680 mm is sufficient to prove that triangle A B C is equilateral.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.