Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Points to Remember: Understanding Quadrilaterals
Points to Remember: Understanding Quadrilaterals | Mathematics (Maths) Class 8 PDF Download
| Table of contents |
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| Polygon |
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| Concave polygons |
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| Convex polygons |
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| Regular and irregular polygons |
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| Parallelogram |
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| Rhombus |
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| Rectangle |
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| Square |
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| Kite |
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| Trapezium |
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| Diagonal |
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Polygon
A simple closed curve made up of only line segments is called a polygon.
Concave polygons
Convex polygons
A polygon is a two-dimensional shape that has a minimum of three sides and angles. A convex polygon is a shape in which all of its vertices point in the outward direction.
Regular and irregular polygons
A regular polygon is a two-dimensional shape having all sides of equal length and all interior angles of equal measure.
An irregular polygon, also known as non-regular polygon is a shape that does not have all sides of equal length and all angles of equal.
Parallelogram
A quadrilateral with each pair of opposite sides parallel.
- Opposite sides are equal.
- Opposite angles are equal.
- Diagonals bisect one another.
Rhombus
A parallelogram with sides of equal length.
- All the properties of a parallelogram.
- Diagonals are perpendicular to each other.
Rectangle
A parallelogram with a right angle.
- All the properties of a parallelogram.
- Each of the angles is a right angle.
- Diagonals are equal.
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Square
- A rectangle with sides of equal length.
- All the properties of a parallelogram, rhombus, and a rectangle.
Kite
A quadrilateral with exactly two pairs of equal consecutive sides.
- The diagonals are perpendicular to one another.
- One of the diagonals bisects the other.
- From figure, m∠B=m∠D but m∠A≠m∠C
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Trapezium
A quadrilateral having exactly one pair of parallel sides.
Diagonal
- A simple closed curve is made up of only line segments.
- A line segment connecting two non-consecutive vertices of a polygon is called diagonal.
Convex: The measure of each angle is less than 180º .
Concave: The measure of at least one angle is more than 180º.
Quadrilateral: A polygon having four sides.
Element of quadrilateral:
(i) Sides: Line segments joining the points.
(ii) Vertices: Point of intersection of two consecutive sides.
(iii) Opposite sides: Two sides of a quadrilateral having no common endpoint.
(iv) Opposite Angles: Two angles of a quadrilateral not having a common arm.
(v) Diagonals: A line segment is obtained by joining the opposite vertices.
(vi) Adjacent Angles: Two angles of a quadrilateral having a common arm.
(vii) Adjacent Sides: Two sides of a quadrilateral having a common endpoint.
The document Points to Remember: Understanding Quadrilaterals | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Points to Remember: Understanding Quadrilaterals - Mathematics (Maths) Class 8
| 1. What are the different types of quadrilaterals? |  |
| 2. How do you identify a quadrilateral? | |
Ans. A quadrilateral is a polygon with four sides and four angles. It can be identified by counting the number of sides and angles in a shape.
| 3. What is the sum of the interior angles of a quadrilateral? | |
Ans. The sum of the interior angles of a quadrilateral is always 360 degrees.
| 4. How do you classify a quadrilateral based on its sides and angles? | |
Ans. A quadrilateral can be classified as regular or irregular based on its sides and angles. Regular quadrilaterals have equal sides and angles, while irregular quadrilaterals have different sides and angles.
| 5. Can a quadrilateral have all right angles? | |
Ans. Yes, a quadrilateral with all right angles is called a rectangle.
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