Diagonals of a rectangle are equal and perpendicular. Is this statement true? Give reason for your answer.
(B) The given statement is false. While the diagonals of a rectangle are equal in length,they are not necessarily perpendicular to each other. The diagonals of a rectangle bisect each other,but they only intersect at $90^{\circ}$ if the rectangle is a square.
Explore More
Similar Questions
$A$ square is inscribed in an isosceles right triangle so that the square and the triangle have one angle common. Show that the vertex of the square opposite the vertex of the common angle bisects the hypotenuse.
Difficult
View SolutionIn trapezium $ABCD$,$AB \parallel CD$. If $\angle A = 70^{\circ}$ and $\angle B = 85^{\circ}$,then $\angle D = \ldots$ (in $^{\circ}$)
Medium
View SolutionThe angle between two altitudes of a parallelogram drawn from the vertex of an obtuse angle is $60^{\circ}$. Find the angles of the parallelogram.
Medium
View SolutionCan the angles $110^{\circ}, 80^{\circ}, 70^{\circ}$ and $95^{\circ}$ be the angles of a quadrilateral? Why or why not?
Easy
View SolutionProve that in a parallelogram,the bisectors of any two consecutive angles intersect at right angles.
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