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
RS Aggarwal Solutions Class 8 Maths Chapter 16 Parallelograms – Overview
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.
- All angles of the parallelogram sums up to 360 degree.
The point A,B,C and D represent a parallelogram
∠A+∠B+ ∠C+∠D= 360
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Theories of parallelogram
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Opposite sides of parallelogram are equal.
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Opposite angles of parallelogram are equal.
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Diagonals bisect each other.
- Congurance of triangles: The triangles are congruent if the sides of the respective triangles superimpose the sides of the other sides.
- The side of one of the triangles is equal to the corresponding side of the other triangle.
To prove the congurance of triangles, there are various theories, mentioned below:
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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
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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
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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
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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
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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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