Class 7 Exam > Class 7 Videos > Advance Learner Course: Mathematics (Maths) Class 7 > Proof: Diagonals of a Rectangle are of equal Length and Bisect each other
Proof: Diagonals of a Rectangle are of equal Length and Bisect each other Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
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FAQs on Proof: Diagonals of a Rectangle are of equal Length and Bisect each other Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7
| 1. How can I prove that the diagonals of a rectangle are of equal length? |  |
| 2. Why do the diagonals of a rectangle bisect each other? | |
Ans. The diagonals of a rectangle bisect each other because a rectangle is a parallelogram. In a parallelogram, the diagonals bisect each other, meaning that they divide each other into two equal parts. Since a rectangle is a special type of parallelogram with 90-degree angles, its diagonals bisect each other at their midpoint.
| 3. Can the diagonals of a rectangle have different lengths? | |
Ans. No, the diagonals of a rectangle cannot have different lengths. By definition, a rectangle has four right angles, which makes it a special type of parallelogram. In a parallelogram, the diagonals are always equal in length. Therefore, in a rectangle, the diagonals will always have the same length.
| 4. How can I use the properties of a rectangle to prove that the diagonals bisect each other? | |
Ans. To prove that the diagonals of a rectangle bisect each other, you can use the properties of a rectangle. Since a rectangle is a parallelogram, its diagonals bisect each other. You can show this by drawing a rectangle, labeling its vertices, and drawing the diagonals. Then, using the properties of parallelograms, you can show that the diagonals intersect at their midpoint, dividing each other into two equal parts.
| 5. Can a quadrilateral with equal length diagonals always be considered a rectangle? | |
Ans. No, a quadrilateral with equal length diagonals cannot always be considered a rectangle. While it is true that a rectangle has equal length diagonals, there are other quadrilaterals, such as a rhombus or a square, that also have equal length diagonals. To determine if a quadrilateral is a rectangle, you need to consider additional properties, such as having four right angles.
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