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Properties of Parallelogram Video Lecture | Mathematics (Maths) Class 8

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FAQs on Properties of Parallelogram Video Lecture - Mathematics (Maths) Class 8

1. What are the basic properties of a parallelogram?
Ans.A parallelogram has several key properties: opposite sides are equal in length, opposite angles are equal, adjacent angles are supplementary (add up to 180 degrees), the diagonals bisect each other, and the area can be calculated using the formula Area = base × height.
2. How can I prove that a quadrilateral is a parallelogram?
Ans.To prove that a quadrilateral is a parallelogram, you can show that either one pair of opposite sides is both equal and parallel, or that both pairs of opposite sides are equal, or that the diagonals bisect each other.
3. What is the significance of the diagonals in a parallelogram?
Ans.The diagonals of a parallelogram have the property that they bisect each other, meaning they divide each other into two equal parts. This property is useful in proving other geometric properties and relationships within the parallelogram.
4. Are all rectangles and rhombuses also parallelograms?
Ans.Yes, all rectangles and rhombuses are specific types of parallelograms. A rectangle is a parallelogram with right angles, while a rhombus is a parallelogram with all sides equal in length. Both satisfy the properties of a parallelogram.
5. How do the angles of a parallelogram relate to each other?
Ans.In a parallelogram, opposite angles are equal, and adjacent angles are supplementary. This means if one angle is known, the measure of the other angles can be easily determined by using these relationships.
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