NCERT Exemplar Class 9 Maths Unit 9 Areas of Parallelograms and Triangles

Candidates can download NCERT Exemplar Class 9 Maths Unit 9 from this page. The exemplar has been provided by the National Council of Educational Research & Training (NCERT) and the candidates can check it from below for free of cost. It contains objective, very short answer type, short answer type, and long answer type questions. Along with it, the answer for each question has also been provided. From the NCERT Exemplar Class 9 Maths Unit 9, candidates can understand the level and type of questions that are asked in the exam.

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NCERT Exemplar Class 9 Maths Unit 9 Areas of Parallelograms and Triangles

NCERT Class 9 Maths Unit 9 is for Areas of Parallelograms and Triangles. The type of questions that will be asked from NCERT Class 9 Maths Unit 9 are displayed in the below provided NCERT Exemplar Class 9 Maths Unit 9. With the help of it, candidates can prepare well for the examination.

Also Check: NCERT Solutions for Class 9 Maths

Main Concepts and Results

The area of a closed plane figure is the measure of the region inside the figure:

The shaded parts (Fig.9.1) represent the regions whose areas may be determined by means of simple geometrical results. The square unit is the standard unit used in measuring the area of such figures.

If ∆ ABC ≅ ∆ PQR, then ar (∆ ABC) = ar (∆ PQR)
Total area R of the plane figure ABCD is the sum of the areas of two triangular regions R 1 and R 2 , that is, ar (R) = ar (R 1 ) + ar (R 2 )
Two congruent figures have equal areas but the converse is not always true,
A diagonal of a parallelogram divides the parallelogram in two triangles of equal area,
(i) Parallelograms on the same base and between the same parallels are equal in area
(ii) A parallelogram and a rectangle on the same base and between the same parallels are equal in area.
Parallelograms on equal bases and between the same parallels are equal in area,
Triangles on the same base and between the same parallels are equal in area,
Triangles with equal bases and equal areas have equal corresponding altitudes,
The area of a triangle is equal to one-half of the area of a rectangle/parallelogram of the same base and between same parallels,
If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to one-half area of the parallelogram.