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
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 :
Attempt any fourMaharashtra Board - Algebra Papers
Find the coordinaMHB - Mathematics Part-2
In the followingMHB - Mathematics Part-2
Show that A(4, -1MHB - Mathematics Part-2
Find the possibleMHB - Mathematics Part-2
Show that pointsMHB - Mathematics Part-2