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Visual Worksheet: Name the Quadrilaterals | Mathematics Class 8- New NCERT (Ganita Prakash) PDF Download

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FAQs on Visual Worksheet: Name the Quadrilaterals - Mathematics Class 8- New NCERT (Ganita Prakash)

1. What are the different types of quadrilaterals and their properties?
Ans. Quadrilaterals are four-sided polygons and can be classified into several types based on their properties. The main types include rectangles, squares, parallelograms, trapezoids, and rhombuses. A rectangle has opposite sides equal and all angles are right angles. A square is a special case of a rectangle where all sides are equal. A parallelogram has opposite sides that are equal and parallel, with opposite angles also equal. A trapezoid has at least one pair of parallel sides, while a rhombus has all sides equal and opposite angles equal.
2. How can I identify and classify quadrilaterals based on their angles and sides?
Ans. To identify and classify quadrilaterals, you can examine the lengths of the sides and the measures of the angles. If all four sides are equal and all angles are right angles, it's a square. If only opposite sides are equal and angles are right, it's a rectangle. If opposite sides are equal but angles are not necessarily right, it's a parallelogram. If one pair of opposite sides is parallel, it's a trapezoid. For further classification, measure the angles: if all angles are equal, it may be a rectangle or square.
3. What are the properties of a square and how does it differ from a rectangle?
Ans. A square is a quadrilateral with all four sides equal and all angles measuring 90 degrees. The properties of a square include that its diagonals are equal in length, bisect each other at right angles, and are also equal to each other. In contrast, a rectangle has opposite sides equal and all angles are right angles, but its sides can be of different lengths. Thus, while all squares are rectangles, not all rectangles are squares.
4. Can quadrilaterals have equal sides but different angles?
Ans. Yes, quadrilaterals can have equal sides but different angles. Such a quadrilateral is known as a rhombus. In a rhombus, all four sides are of equal length, but the angles can vary. The opposite angles are equal, and the adjacent angles are supplementary (they add up to 180 degrees). This differentiates it from a square, where all angles are right angles.
5. How do the angles in a quadrilateral add up, and what is the significance of this property?
Ans. The sum of the interior angles in any quadrilateral is always 360 degrees. This property is significant because it helps in verifying the shape and classification of the quadrilateral. For example, if you know three angles of a quadrilateral, you can calculate the fourth angle by subtracting the sum of the known angles from 360 degrees. This property is also essential in solving various geometrical problems involving quadrilaterals.
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