Diagonal of a rectangle are equal and perpendicular. Is this statement true? Give reason for your answer?
Diagonal of a rectangle are equal and perpendicular. Is this statement true? Give reason for your answer?
Aniket Singh , 7 Months ago
Grade
10 grade maths> Diagonal of a rectangle are equal and per...
1 AnswersAskiitians Tutor Team
The statement that the diagonals of a rectangle are equal and perpendicular is not entirely accurate. Let's break it down.
Understanding Diagonals in a Rectangle
In a rectangle:
- Equal Lengths: The diagonals are indeed equal in length. This is because a rectangle has opposite sides that are equal, and the diagonals bisect each other.
- Perpendicularity: However, the diagonals are not perpendicular. They intersect at their midpoints but do not form right angles with each other.
Conclusion
So, while the diagonals of a rectangle are equal, they are not perpendicular. This characteristic distinguishes rectangles from other shapes, like rhombuses, where the diagonals are both equal and perpendicular.
Approved Last Activity: 7 Months ago
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