Class 8 Maths - ODISHA
Quadrilaterals
In this chapter, Class 8 students under the Odisha Board (BSE) will explore quadrilaterals, which are four-sided closed polygons. You will learn about the angle sum property of quadrilaterals, stating that the sum of all four interior angles is 360 degrees. The chapter details various types of quadrilaterals such as parallelograms, rectangles, squares, rhombuses, trapeziums, and kites, focusing on their unique properties regarding sides, diagonals, and angles. Mastering this chapter is essential for scoring well in the BSE Odisha board examinations, as it forms the foundational building block for advanced geometry in higher classes.
Start Learning FreeKey Concepts
Polygon and Quadrilateral
A polygon is a closed figure made of three or more line segments, and a quadrilateral is a specific polygon having exactly four sides, four vertices, and four angles.
Angle Sum Property
The sum of all the four interior angles of any quadrilateral is always equal to 360 degrees.
Parallelogram and its Properties
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel and equal, opposite angles are equal, and diagonals bisect each other.
Special Types of Quadrilaterals
Rhombus, rectangle, square, and trapezium are special types of quadrilaterals with distinct properties concerning their side lengths, angle measures, and diagonal relationships.
Important Formulas
Board Exam Info
In the Odisha (BSE) Class 8 mathematics examination, this chapter typically carries around 6 to 8 marks. Questions usually include 1-mark objective questions, 2-mark short answers based on finding unknown angles using the angle sum property, and 3-mark or 4-mark descriptive problems proving properties of parallelograms or special quadrilaterals.
Frequently Asked Questions
What is the difference between a parallelogram and a trapezium?
A parallelogram has both pairs of opposite sides parallel and equal, whereas a trapezium has only one pair of opposite sides parallel.
Can a kite be considered a parallelogram?
No, a kite is not a parallelogram because its opposite sides are not parallel; it only has two pairs of adjacent sides that are equal in length.
How do we find the fourth angle of a quadrilateral if three angles are given?
Add the three given angle measures together and subtract that sum from 360 degrees to get the measure of the fourth angle.
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