What is the main concept of NCERT solutions for Class 9 Maths exercise 9.1?

In this exercise, we learn about dealings with areas related to triangles and parallelograms especially if they are on the common base and between the same parallels.

If two figures A and B are congruent then what is the relation between their areas?

If figure A and figure B are congruent to each other then: Area of (A) = Area of (B)

What do you understand by area of a given surface?

The area of a given surface is defined as the space occupied by the surface.

What do you mean by figures on the same base?

Two figures are said to be on the same base if they both have one common side as their base.

What do you understand by figures on the same base and between the same parallels?

Two figures are supposed to be on the same base and between the same parallels in the event that the two of them have one common side as their base and the vertices which are inverse(opposite) to the normal base lie on both lie in a parallel line.

Can we consider rectangle as a parallelogram?

Yes, we can consider a rectangle as a parallelogram as both of its opposite sides are parallel to each other.

NCERT Solutions for Exercise 9.1 Class 9 Maths Chapter 9 - Areas Of Parallelograms And Triangles

Team Careers360Updated on 18 Jul 2022, 03:13 PM IST

NCERT Solutions for Class 9 Maths exercise 9.1 - The properties of parallelograms on the same base and between the same parallels are identified in NCERT solutions for Class 9 Maths chapter 9 exercise 9.1. It includes questions about the diagonal of a parallelogram, its base, side lengths, area, and other unique properties of parallelograms. More such properties of this geometric shape are addressed in this NCERT exercise. Class 9 Maths chapter 9 exercise 9.1 two shapes are stated to be on the common base and between the same parallels if: A side is common between two shapes. The vertices opposite the same side and the sides parallel to the common base are both on the same straight line parallel to the base.

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Areas Of Parallelograms And Triangles Class 9 Chapter 9 Exercise: 9.1
More About NCERT Solutions for Class 9 Maths Exercise 9.1
NCERT Solutions of Class 10 Subject Wise
Subject Wise NCERT Exemplar Solutions

If two shapes are congruent then the amount of area occupied by them will also be equal but the vice-versa of this statement is not true i.e. two figures having the same area need not be congruent.

A parallelogram is a geometrical shape with sides that are parallel to each other in two dimensions. It's a four-sided polygon (also known as a quadrilateral) with two parallel sides that are the same length. A parallelogram's interior opposite angles are also equal. The sum of a parallelogram's adjacent angles is 180 degrees.

Areas Of Parallelograms And Triangles Class 9 Chapter 9 Exercise: 9.1

Q Which of the following figures lie on the same base and between the same parallels. In such a case, write the common base and the two parallels.

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Answer:

In figure (i), (iii) and (v) we can see that. they lie on the same base and between the same parallel lines.
In figure (i) figure (iii) figure (v)
Common base DC QR AD
Two parallels DC and AB QR and PS AD and BQ

NCERT Solutions of Class 10 Subject Wise

Subject Wise NCERT Exemplar Solutions

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