Class 9 Math Chapter 10 Question Answer
Handwritten and composed notes Class 9 Math Chapter 10 Question Answer Congruent Triangles of Chapter No.10: Congruent Triangles notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Congruent Triangles for the students of mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important notes of Class 9 Math Chapter 10 Question Answer for Matriculation part-I students.
- Complete Multiple Choice Questions (MCQs) of Chapter No.10: Congruent Triangles 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.10: Congruent Triangles 9th class Mathematics Science group in English medium.
- Complete Chapter review exercise questions of Chapter No.10: Congruent Triangles 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.10: Congruent Triangles 9th class Mathematics Science group in English medium.
- Here are the detailed 9th class math chapter 10 question answer pdf to help you prepare for your exams.
- 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.
- You can also download the 9th class math chapter 10 question answer pdf download for free.
- Congruent Triangles: Introduction: 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. We shall also
state S.A.S. postulate. Let there be two triangles ABC and DEF. Out of the total six (1 − 1) correspondences that can be established between ∆ABC and
∆DEF, one of the choices is explained below.
- Congruency of Triangles: Two triangles are said to be congruent written symbolically as,
≅, if there exists a correspondence between them such that all the
corresponding sides and angles are congruent i.e.,
- In any correspondence of two triangles, if two sides and their included angle of one triangle are congruent to the corresponding
two sides and their included angle of the other, then the triangles
are congruent.
- Theorem 10.1.1: 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.
( A . S . A. ≅ A . S . A .)
- Corollary: 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.
( S . A . A . ≅ S . A . A .)
- 1. In the given figure, AB ≅ CB , ∠ 1 ≅ ∠ 2. Prove that ∆ABD ≅ ∆CBE.
- 2. From a point on the bisector of an angle, perpendiculars are drawn to the arms of the angle. Prove that these perpendiculars are equal in measure.
- 3. In a triangle ABC, the bisectors of ∠B and ∠C meet in a point I. Prove that I is equidistant from the three sides of ∆ABC.
- Theorem 10.1.2: If two angles of a triangle are congruent, then the sides
opposite to them are also congruent.