Which of the following statements is sufficient to conclude that two triangles…
2024
Which of the following statements is sufficient to conclude that two triangles are congruent?
- A.
These have two equal sides and the same perimeter.
- B.
These have the same area and the same base.
- C.
One side and one angle of both triangles are equal.
- D.
These have the same base and the same height.
Attempted by 3 students.
Show answer & explanation
Correct answer: A
Two triangles are congruent if all three corresponding sides are equal (SSS). Given two sides and the perimeter, the third side is determined uniquely, satisfying SSS.
Option 1 is the correct choice. Because the perimeter and two sides are known, the third side is fixed, effectively providing all three side lengths and satisfying the SSS criterion.