Trapezium and Kite Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7

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FAQs on Trapezium and Kite Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7

1. What are the properties of a trapezium that distinguish it from other quadrilaterals?
Ans. A trapezium is a quadrilateral with one pair of parallel sides. This distinguishes it from other quadrilaterals such as squares, rectangles, and parallelograms, which have both pairs of opposite sides parallel.
2. How do you calculate the area of a trapezium?
Ans. The area of a trapezium can be calculated using the formula: Area = (Sum of parallel sides) * (Height) / 2. The sum of the parallel sides refers to the sum of the lengths of the two parallel sides of the trapezium, while the height is the perpendicular distance between the parallel sides.
3. What are the diagonals of a kite and how do they relate to its angles?
Ans. A kite is a quadrilateral with two pairs of equal adjacent sides. The diagonals of a kite are the line segments connecting the opposite vertices. The diagonals of a kite are perpendicular to each other, and they bisect the angles formed by the adjacent sides.
4. How can you determine if a quadrilateral is a kite or a trapezium based on its side lengths?
Ans. To determine if a quadrilateral is a kite or a trapezium based on its side lengths, you can examine the relationships between the sides. In a kite, two pairs of adjacent sides are equal in length, while in a trapezium, only one pair of opposite sides is parallel.
5. Can a trapezium also be a kite?
Ans. No, a trapezium cannot be a kite. A trapezium has only one pair of parallel sides, while a kite has two pairs of equal adjacent sides. These characteristics are mutually exclusive, so a quadrilateral cannot possess both properties simultaneously.
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