Diagonals of a rhombus are equal and perpendicular to each other. State whether the statement is true or false.
Solution:
Given, Diagonals of a rhombus are equal and perpendicular to each other.
We have to determine if the given statement is true or false.
A diagonal is a straight line that connects the opposite corners of a polygon through its vertices.
In a rhombus, opposite sides are parallel and the opposite angles are equal.
All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.
A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides.
A rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.
Therefore, the diagonals of a rhombus are not equal but perpendicular to each other.
✦ Try This: Diagonals of a square are equal and perpendicular to each other. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 110
Diagonals of a rhombus are equal and perpendicular to each other. State whether the statement is true or false.
Summary:
The given statement, ”Diagonals of a rhombus are equal and perpendicular to each other” is false.
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