Diagonals of a rectangle are perpendicular to each other. State whether the statement is true or false.

Solution:

Given, the diagonals of a rectangle are perpendicular to each other.

We have to determine if the given statement is true or false.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

A diagonal is a straight line that connects the opposite corners of a polygon through its vertices.

The diagonals of a rectangle do not cut each other at 90 degrees.

Therefore, the diagonals of a rectangle are not perpendicular.

✦ Try This: Diagonals of a square are 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 Solved Problem 19

Diagonals of a rectangle are perpendicular to each other. State whether the statement is true or false.

Summary:

The given statement,”Diagonals of a rectangle are perpendicular to each other” is false.

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