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Which of the following statements is sufficient to conclude that two triangles are congruent?

SSC · 2024 · Quantitative Aptitude
Question:
Which of the following statements is sufficient to conclude that two triangles are congruent?

Options

(1) These have two equal sides and the same perimeter.
(2) These have the same area and the same base.
(3) One side and one angle of both triangles are equal.
(4) These have the same base and the same height.
Answer: (1) These have two equal sides and the same perimeter.

Explanation:
If two sides and perimeter are equal, the third side must also be equal, giving SSS congruence.

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