NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.2 Triangles in PDF file format free to download in Hindi and English Medium. All the solutions are updated for academic sessions 2023-24 following the new NCERT textbooks and the rationalised syllabus for CBSE and State board.
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Class 9 Maths Chapter 7 Exercise 7.2 Solution in Hindi and English
Students can get here the Class 9 Maths Exercise 7.2 solution are given PDF and video format. Students studying in Hindi Medium also take help from Hindi Medium solutions. These solutions are useful for all boards like UP Board, MP Board, Gujrat Board, and other board to prepare school exams and terminal tests.
Congruence of Triangle
We already know that two triangles are equal to each other’s sides and angle if the sides and angles of the second triangle are equal. To write the conformations of triangles in the symbolic form, it is necessary to correctly write the correspondence of vertices. The corresponding parts of congruent triangles are equal, and we briefly write “CPCT” for the corresponding parts of the triangles.
Conditions for Congruence
The similarity of a pair of sides or a pair of sides and a pair of angles is not enough to give us a congratulatory triangle. Do you know? What if the other pairs (sides) of the same angles were also the same? If two sides and the combined angle of one triangle are equal to both sides and the other triangle angles are equal, then two triangles are included. For triangles to be complimentary, equal angles must be included between pairs of equal sides. Therefore, SAS is satisfied with the copyright rule but not the ASS or SSA rule. The similarity of the three angles is not sufficient for the congruency of triangles. Therefore, for the congruence of three equal part triangles, there must be one side.
AAS Congruence Rule
Suppose now that two pair angles and one pair are equal to the corresponding arm in two triangles, but the sides are not included in equal pairs of equal angles. Are the triangles still congratulations? You will see that they deserve congratulations. Can you cause it? We know that the sum of all the three angles of a triangle is always 180°. Therefore, whenever two angles are equal, the third angle is also equal (180° – equal to even angle). So, two triangles congruent if two angles and one side are equal. We can call it the AAS Congruence rule.
Which are the main theorems to study in exercise 7.2 of grade 9th Maths?
Students will study two main theorems (Theorems 7.2 and 7.3) in exercise 7.2 of grade 9th Maths. These are quite important for the school tests as well as first term exams.
Angles opposite to equal sides of an isosceles triangle are equal.
The sides opposite to equal angles of a triangle are equal.
What are the theorems in exercise 7.2 of class 9 Maths, which are generally asked in exams for proof?
The theorem 7.2, which states that the angles opposite to equal sides of an isosceles triangle are equal, is asked to prove in exams.
Which questions of exercise 7.2 of grade 9th Maths are compulsory to do for first term exams?
Students should do all questions and examples of exercise 7.2 of class 9th Maths. But example 6 and questions 3, 4, 6, 7, 8 of exercise 7.2 are compulsory to do for the exams because these are very important questions from an exam point of view. In exams, these questions can come in three marks.
Which example of exercise 7.2 of class 9 Maths is important for CBSE exams?
There is a total of three examples based on CBSE Class 9 Maths Exercise 7.2. The 3rd example, which is example number 6, is commonly asked in school exams.
Which problems of exercise 7.2 of grade 9th Maths are easy to solve and understand?
In exercise 7.2 of grade 9th Maths, Examples 4, 5 and questions 2, 3, 4, 5, 7 are easy to solve and understand compared to example 6 and questions 1, 6, 8 . It can vary from student to student also.
Which is the most critical question in class 9 exercise 7.2?
There are a total of 8 questions given in CBSE Class 9 Maths exercise 7.2. Out of these eight questions, 4 and 6 are important questions because these are frequently asked in exams.
Is exercise 7.2 of class 9th Maths lengthy?
No, exercise 7.2 of class 9th Maths is not lengthy. There are only three examples (examples 4, 5, 6) and eight questions in this exercise. Students can complete this exercise within three days if they give 1-2 hours per day to this exercise.
This time also depends on the student’s working speed, efficiency, capability and many other factors.