Students can go through AP Board 9th Class Maths Notes Chapter 7 Triangles to understand and remember the concepts easily.

## AP State Board Syllabus 9th Class Maths Notes Chapter 7 Triangles

→ Two line segments are congruent if they have equal length.

→ Two squares are congruent if they have same side.

→ Squares that have same measure of diagonals are also congruent.

→ Two triangles are congruent if they cover each other exactly.

→ If two triangles are congruent then Corresponding Parts of Congruent Triangles (CPCT) are equal.

→ Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and included angle of the other triangle (S.A.S. congruence rule).

→ Two triangles are congruent, if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle (A.S.A. congruence rule).

→ Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal (A.A.S.).

→ Angles opposite equal sides of a triangle are equal.

→ The sides opposite to equal angles of a triangle are equal.

→ If three sides of one triangle are respectively equal to the corresponding three sides of another triangle, then the two triangles are congruent (SSS).

→ If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the another triangle, then the two triangles are congruent (RHS).

→ In a triangle, of the two sides, side opposite to greater angle is greater.

→ Sum of any two sides of a triangle is greater than the third side.