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Which of the following statement is correct about the AAS congruence of triangles?
1. If two angles of one triangle are congruent to the corresponding angles of the other triangle and the sides included between them are congruent, then two triangles are congruent
2. If the hypotenuse and one side of one triangle are respectively congruent to the hypotenuse and the corresponding side of the other triangle, then two right-angled triangles are congruent
3. If three sides of one triangle are congruent to the corresponding sides of the other triangle, then two triangles are congruent
4. If two sides of one triangle are congruent to the corresponding sides of other triangle and the angles include between them are congruent, then two triangles are congruent

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Correct Answer - Option 1 : If two angles of one triangle are congruent to the corresponding angles of the other triangle and the sides included between them are congruent, then two triangles are congruent
Congruence of triangles: Two triangles are said to be congruent if their all sides and angles are equal corresponding to the other triangle’s all sides and angles. There are four ways in which a triangle can be proved or said congruent.
  • AAS (Angle-Angle-Side) Rule: It states that if two consecutive angles and one adjacent side of a triangle is equal to two consecutive angles and one adjacent side of another triangle.
  • Right- Hand Side (RHS) Rule: It states that if in two right-angled triangles, the length of the hypotenuse and one of the sides of one triangle is equal to the length of the hypotenuse and one of the sides of another triangle, the triangle is said to be congruent.
  • SSS (Side-Side-Side) Rule: It is when we are given that all the three sides of one triangle are equal to three sides of another triangle correspondingly.
  • SAS (Side-Angle-Side) Rule: It states that two sides and the angle included between those sides of one triangle are equal to two sides and the angle included between them of the other triangle.
  • ASA (Angle-Side-Angle) Rule: If the two angles and one side between them of one triangle is equal to the corresponding angles and side, the triangle is said to be congruent.

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