Answer :

In a Rhombus the sides are equal and the diagonals bisect each other at 90°

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)


Length AB = =


Length BC = =


Length CD = =


Length AD = =


Slope of a line between two points (a,b) and (c,d) is



Slope of Diagonal AC = = 1


Slope of diagonal BD = = -1


Note: If the Product of slopes of two lines = -1 then they are perpendicular to each other.


As the product of slopes pf two diagonals = -1. Hence they're perpendicular to each other.


Hence The given points form a rhombus.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Section FormulaSection FormulaSection Formula53 mins
Doubt SessionDoubt SessionDoubt Session47 mins
Basics of Coordinate GeometryBasics of Coordinate GeometryBasics of Coordinate Geometry53 mins
Distance FormulaDistance FormulaDistance Formula52 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

Attempt any four Maharashtra Board - Algebra Papers

Find the coordinaMHB - Mathematics Part-2

In the following MHB - Mathematics Part-2

Show that A(4, -1MHB - Mathematics Part-2

Find the possibleMHB - Mathematics Part-2

Show that points MHB - Mathematics Part-2