Study Online and Download Notes of Mathematics 9th Unit 10: Congruent Triangles. In this unit before proving the theorems, we will explain what is meant by 1 − 1 correspondence (the symbol used for 1 − 1 correspondence is ←→ and congruency of triangles.
Study Online and Download Notes of Mathematics 9th Unit 10: Congruent Triangles. In this unit before proving the theorems, we will explain what is meant by 1 − 1 correspondence (the symbol used for 1 − 1 correspondence is ←→ and congruency of triangles.
After studying this unit, the students will be able to:
- Prove that in any correspondence of two triangles, if one side and any two angles of one triangle are congruent to the corresponding side and angles of the other, then the triangles are congruent.
- Prove that if two angles of a triangle are congruent, then the sides opposite to them are also congruent.
- Prove that in a correspondence of two triangles, if three sides of one triangle are congruent to the corresponding three sides of the other, the two triangles are congruent.
- Prove that if in the correspondence of two right-angled triangles, the hypotenuse and one side of one are congruent to the hypotenuses and the corresponding side of the other, then the triangles are congruent.
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