Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.
(B) The statement is false.
In a parallelogram,the diagonals bisect each other,but they are not necessarily perpendicular.
Perpendicular diagonals are a property of a rhombus or a square,which are special types of parallelograms,but it is not a general property of all parallelograms.
In a parallelogram,the diagonals bisect each other,but they are not necessarily perpendicular.
Perpendicular diagonals are a property of a rhombus or a square,which are special types of parallelograms,but it is not a general property of all parallelograms.
Explore More
Similar Questions
In $\Delta ABC$ and $\Delta DEF$,$AB = DE$,$AB \parallel DE$,$BC = EF$ and $BC \parallel EF$. Vertices $A, B$ and $C$ are joined to vertices $D, E$ and $F$ respectively (see Fig). Show that quadrilateral $ACFD$ is a parallelogram.
Easy
View Solution$ABCD$ is a parallelogram and $AP$ and $CQ$ are perpendiculars from vertices $A$ and $C$ on diagonal $BD$ (see Fig). Show that $\Delta APB \cong \Delta CQD$.
Medium
View Solution$PQRS$ is a parallelogram. If the two diagonals are equal,find the measure of $\angle PQR$. (in $^{\circ}$)
Easy
View Solution$ABCD$ is a rhombus. Show that diagonal $AC$ bisects $\angle A$ as well as $\angle C$ and diagonal $BD$ bisects $\angle B$ as well as $\angle D$.
Medium
View SolutionShow that if the diagonals of a quadrilateral are equal and bisect each other at right angles,then it is a square.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo