Class 9 Math Chapter 16 Question Answer

Handwritten and composed notes Class 9 Math Chapter 16 Question Answer Theorems Related with Area of Chapter No.16: Theorems Related with Area Notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Theorems Related with Area for the students of Mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.

• Important notes of Class 9 Math Chapter 16 Question Answer for Matriculation part-I students.
• Complete Multiple Choice Questions (MCQs) of Chapter No.16: Theorems Related with Area 9th class Mathematics Science group in English medium.
• Complete Chapter review exercise questions of Chapter No.16: Theorems Related with Area 9th class Mathematics Science group in English medium.
• Important definitions Asking in board question papers of Chapter No.16: Theorems Related with Area 9th class Mathematics Science group in English medium.
• Prove that parallelograms on the same base and lying between the same parallel lines (or of the same altitude) are equal in area.
• Prove that parallelograms on equal bases and having the same altitude are equal in area.
• Prove that triangles on the same base and of the same altitude are equal in area.
• Prove that triangles on equal bases and of the same altitude are equal in area.
• Here are the detailed 9th class math chapter 16 question answer pdf to help you prepare for your exams.
• Introduction: In this unit we will state and prove some important theorems related with area of parallelograms and triangles along with corollaries. We shall apply them to solve appropriate problems and to prove some useful results.
• Some Preliminaries: Area of a Figure: The region enclosed by the bounding lines of a closed figure is called the area of the figure. The area of a closed region is expressed in square units (say sq. m or m2) i.e. a positive real number. 
• Triangular Region: The interior of a triangle is the part of the plane enclosed by the triangle. A triangular region is the union of a triangle and its interior i.e., the three line segments forming the triangle and its interior.  By area of a triangle, we mean the area of its triangular region.
• You can also download the 9th class math chapter 16 question answer pdf download for free.
• Congruent Area Axiom: If ∆ABC ≅ ∆PQR, then area of (region ∆ABC) = area of ( region ∆PQR )
• Rectangular Region: The interior of a rectangle is the part of the plane enclosed by the rectangle. A rectangular region is the union of a rectangle and its interior.  A rectangular region can be divided into two or more than two triangular regions in many ways. Recall that if the length and width of a rectangle are a units and b units respectively, then the area of the rectangle is equal to a x b square units.  If a is the side of a square, its area = a^2 square units.
• Between the same Parallels: Two parallelograms are said to be between the same parallels, when their bases are in the same straight line and their sides opposite to these bases are also in a straight line; as the parallelograms ABCD, EFGH in the given figure.
• Two triangles are said to be between the same parallels, when their bases are in the same straight line and the line joining their vertices is parallel to their bases; as the ∆s ABC, DEF in the given figure.
• A triangle and a parallelogram are said to be between the same parallels, when their bases are in the same straight line, and the side of the parallelogram opposite the base, produced if necessary, passes through the vertex of the triangle as are the ∆ABC and the parallelogram DEFG in the given figure.