Consider the following statements Two triangles are said to be congruent if 1 Three angles of one tr...........

Quantitative Aptitude (CDS) Coordinate Geometry

Consider the following statements :

Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle.

2. Three sides of one triangle are equal to the corresponding three sides of the other triangle,

3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle.

4. Two 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?

1, 2 and 3

1, 3 and 4

1, 2 and 4

2, 3 and 4

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Explanation:

There are three conditions of congruency. These are: (a) Side-Angle-Side (b) Angle-Side-Angle (c) Side-Side-Side Statement 1 says Angle-Angle-Angle property, which is not true. Statements 2,3,4 are correct. Hence the answer is option (4).