Class 9 Maths Areas of Parallelograms and Triangles – Get here the Notes for Class 9 Areas of Parallelograms and Triangles. Candidates who are ambitious to qualify the Class 9 with good score can check this article for Notes. This is possible only when you have the best CBSE Class 9 Maths study material and a smart preparation plan. To assist you with that, we are here with notes. Hope these notes will helps you understand the important topics and remember the key points for exam point of view. Below we provided the Notes of Class 9 Maths for topic Areas of Parallelograms and Triangles .

**Class:**9th**Subject:**Maths**Topic:**Areas of Parallelograms and Triangles**Resource:**Notes

## CBSE Notes Class 9 Maths Areas of Parallelograms and Triangles

Candidates who are pursuing in Class 9 are advised to revise the notes from this post. With the help of Notes, candidates can plan their Strategy for particular weaker section of the subject and study hard. So, go ahead and check the Important Notes for Class 9 Maths Areas of Parallelograms and Triangles from this article.

**INTRODUCTION**

You may recall that the part of the plane enclosed by a simple figure is called a planar region corresponding to that figure. The magnitude or measure of this lanar region is called its area.

We are also familiar with the concept of congruent figures.

Two figures are called congruent, if they have the same shape and the same size.

So if two figures A and B are congruent they must have equal areas. However, the converse of this statement is not true. In other words, two figures having equal areas need not be congruent. For example, in figure, rectangles ABCD and EFGH have equal areas (9 x 4 cm^{2} and 6 x 6 cm^{2}) but clearly they are not congruent.

**FIGURES ON THE SAME BASE AND BETWEEN THE SAME PARALLELS**

Two figures are said to be on the same ‘base add 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.

If a parallelogram PQRS, a rectangle EFGH and a triangle LMN are so drawn that their bases lie on a straight line (say, CD) and their other vertices lie on a line AB parallel to it (CD), then the parallelogram, the rectangle and the triangle are said to be between the same parallels.

**Note :** Out of the two parallels, one must be the line containing the common base. ΔABC and ΔDBE of figure are not on the common base.

**PARALLELOGRAMS ON THE SAME BASE AND BETWEEN THE SAME PARALLELS.**

**Statement :** Parallelograms on the same base and between the same parallels are equal in area.

**Remark:** Area of a parallelogram is the product of its any side and the corresponding altitude.

**Statement : **if a triangle an a a parallelog Ain Are mit* same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.

**TRIANGLES ON THE SAME BASE AND BETWEEN THE SAME PARALLELS**

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

**Note :** Area of ΔADC = 1/2 x base DC x corresponding altitude AN

In other words, area of a triangle is half the product of its base (or any side) and the corresponding altitude (or height).

**Remarks :** Two triangles with same base (or equal bases) and equal areas will have equal corresponding altitudes.

**Theorem :** Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.

### Class 9 Key Points, Important Questions & Practice Papers

Hope these notes helped you in your schools exam preparation. Candidates can also check out the Key Points, Important Questions & Practice Papers for various Subjects for Class 9 in both Hindi and English language form the link below.

Class 9 Maths | कक्षा 9 गणित |

Class 9 Science | कक्षा 9 सामाजिक विज्ञान |

Class 9 English | |

Class 9 Social Science |

### Class 9 NCERT Solutions

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### Class 9 Mock Test / Practice

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### Class 9 Exemplar Questions

Exemplar Questions Class 9 is a very important resource for students preparing for the Examination. Here we have provided Exemplar Problems Solutions along with NCERT Exemplar Problems Class 9. Question from very important topics is covered by Exemplar Questions for Class 9.

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