Diagonals of a rectangle are equal and perpendicular. Is this statement true? Give reason for your answer.
Solution:
Consider a rectangle ABCD
The diagonals of the rectangle are AD and BC
We know that
The diagonals are equal but need not be perpendicular
Therefore, the statement is false.
✦ Try This: Can the angles 140º, 60º, 50º and 110º be the angles of a quadrilateral? Why or why not?
The angles given are 140º, 60º, 50º and 110º
We know that the sum of all the angles of a quadrilateral is 360º
So the sum of the given angles is
140º + 60º + 50º + 110º = 360º
Therefore, 140º, 60º, 50º and 110º are the angles of a quadrilateral.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8
NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 6
Diagonals of a rectangle are equal and perpendicular. Is this statement true? Give reason for your answer.
Summary:
The statement “Diagonals of a rectangle are equal and perpendicular” is false as the diagonals need not be perpendicular to each other
☛ Related Questions:
- Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer
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