Exercise 9.4, which can be found in the page 164 of your NCERT textbook, is an optional one and is mainly given to assess your understanding of the subject and the concepts that are discussed so far in the textbook. NCERT Solutions for Class 9 Math Chapter 9 Area of Parallelograms and Triangles Exercise 9.4 gives a clear and step by step detailed solution. This will also help you to understand this topic.

Summary of the concepts discussed in the NCERT Solution for Class 9 Maths Chapter 9 Area of Parallelograms and Triangles are as follow:

1. Area of a figure is a number (in some units) associated with the part of the plane enclosed by that figure.

2. Two congruent figures have equal areas but the converse need not be true.

3. If a planar region formed by a figure T is made up of two non-overlapping planar regions formed by figures P and Q, then are (T) = ar (P) + ar (Q), where (X) denotes the area of figure X.

4. Two figures are said to be on the same base and between the same parallels, if they have a common base (side) and the vertices, (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.

5. Parallelograms on the same base (or equal bases) and between the same parallels are equal in area.

6. Area of a parallelogram is the product of its base and the corresponding altitude.

7. Parallelograms on the same base (or equal bases) and having equal areas lie between the same parallels.

8. If a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram.

9. Triangles on the same base (or equal bases) and between the same parallels are equal in area.

10. Area of a triangle is half the product of its base and the corresponding altitude.

11. Triangles on the same base (or equal bases) and having equal areas lie between the same parallels.

12. A median of a triangle divides it into two triangles of equal areas.

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### Access other exercise solutions of class 9 Maths Chapter 9- Area of Parallelograms and Triangles

Exercise 9.1 Solutions 1 Short Type Answer with Reasoning

Exercise 9.2 Solutions 5 Short Type Answers and 1 Long Type Answer

Exercise 9.3 Solutions 12 Short Type Answer and 4 Long Type Answer

## NCERT Solutions for class 9 Maths Chapter 9-Area of Parallelograms and Triangles Exercise 9.4

Even if this is given as an optional exercise, this exercise 9.4 from the chapter 9 of NCERT Solutions for Class 9 Maths is important as it contains various questions covering the important concepts of chapter 9. The exercise contains 4 Short Type Answer, 1 Long Type Answer and 3 Very Long Type Answers.

Solving this exercises from NCERTSolutions for Class 9 will help you:

- To learn the topic very well
- Get practice and gain confidence
- Understand the concepts more clearly
- Self-assess what they know about the concept