2018 · Q80
Consider the following statements:
Two triangles are said to be congruent, if
- 1Three angles of one triangle are equal to the corresponding three angles of the other triangle.
- 2Three sides of one triangle are equal to the corresponding three sides of the other triangle.
- 3Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle.
- 4Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.
Which of the above statements are correct?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A1, 2 and 3
- B1, 3 and 4
- C1, 2 and 4
- D2, 3 and 4
Explanation
Statement 1 (AAA) gives only similarity, not congruence. Statements 2 (SSS), 3 (SAS) and 4 (ASA) are the standard congruence criteria, so 2, 3 and 4 are correct, option (D).