RS Aggarwal Solutions Class 8 Maths Chapter 16 Parallelograms: Subject matter experts have designed the solutions of RS Aggarwal Solutions Class 8 Maths in a way that you can easily understand the solutions and clear your doubts. You can totally rely on the RS Aggarwal Solutions Class 8 Maths for your class assignments and exam preparation. All the solutions are as per the current CBSE Syllabus.
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RS Aggarwal Solutions Class 8 Maths Chapter 16 Parallelograms
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You must know the key points of RS Aggarwal Solutions Class 8 Maths Chapter 16 before you start preparing for your Class 8 Maths exam.
The point A,B,C and D represent a parallelogram
∠A+∠B+ ∠C+∠D= 360
Theories of parallelogram
Opposite sides of parallelogram are equal.
Opposite angles of parallelogram are equal.
Diagonals bisect each other.
To prove the congurance of triangles, there are various theories, mentioned below:
SSS - In this, the side of one triangle is equal to the other triangle's side. In triangle ABC and PQR,
AB= PQ
BC= QR
AC= PR
SAS - In this, one side is equal to the corresponding side, the angle is equal to the corresponding angle, and side to the other triangle's side. In triangle ABC and PQR, AB= PQ
∠B= ∠Q
BC= QR
ASA - In this, angle is equal to the corresponding angle of the triangle, and side is equal to the corresponding angle of the triangle.
For example, In triangle ABC and PQR,
∠B= ∠Q
BC= QR
∠C= ∠R
AAS - In this, two angles are equal to the corresponding angle and the side is equal to the side.
For example, In triangle ABC and PQR,
∠A= ∠P
∠B= ∠Q
AB= PQ
HL - This applies to the right angle, In this, the hypotenuse of one right-angled triangle is equal to the other, and any of the other sides is equal to the side of the other right-angled triangle. For example, In right-angled triangle ABC and PQR,
AC= PR
BC= QR
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