NCERT Solutions for Class 9 Maths Chapter 8 – Quadrilaterals
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CBSE Class 9 Maths Chapter 8 – Quadrilaterals NCERT Solutions
A Quadrilateral is a polygon that has four sides like a rectangle, rhombus, or square. Besides, the basic property of a quadrilateral is having four sides and the shapes that fulfill this criterion are called quadrilaterals.
Sub-topics covered under NCERT Solutions for Class 9 Maths Chapter 8
8.1 Introduction
This topic explains what is quadrilaterals and how it is different from other figures. There are figures from which you have to find the quadrilaterals.
8.2 Angle Sum Property of a Quadrilateral
This topic describes the various angle sum property of a quadrilateral. Like which angles from complementary angles, which form supplementary angles. And the sum of all the angles of a quadrilateral is always 360o.
8.3 Types of Quadrilaterals
This topic discusses the various types of quadrilaterals. These include trapezium, rhombus, square, rectangle, parallelogram, etc.
8.4 Properties of a Parallelogram
This topic describes the various properties of a parallelogram. These properties include angles, area diagonals, sides, etc.
8.5 Another Condition for a Quadrilateral to be a Parallelogram
This topic describes one more important theorem for a quadrilateral to be a parallelogram.
8.6 The Mid-Point Theorem
This theorem explains that if you divide a triangle from its mid-point of two sides then it will form a parallelogram.
8.7 Summary
This topic sums up all the theorem and the topics discussed in the chapter
Theorems in NCERT Solutions for Class 9 Maths Chapter 8 Quadrilateral
1st Theorem- The diagonal divides the parallelogram into two congruent triangles.
2nd Theorem- The opposite side of a parallelogram are equal.
3rd Theorem- The quadrilaterals in which each pair of opposite sides are equal are called parallelogram.
4th Theorem- The opposite angles of a parallelogram are equal.
5th Theorem- If each pair of opposite angles are equal then it is a parallelogram.
6th Theorem- The diagonals bisect each other in a parallelogram.
7th Theorem- If the diagonals bisect each other in a quadrilateral, then it’s a parallelogram.
8th Theorem- The opposite sides of a parallelogram are parallel and equal.
9th Theorem- The line that joins mid-points of a triangle’s two side is parallel to the third side.
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