The points A(-3, 4), B(3, 2), C(1,4), and D(-5, -2) form quadrilateral ABCDin the coordinate plane. What condition verifies that the
diagonals are perpendicular?
PLEASED HELP

The diagonals of the qudrilateral will not be perpendicular to each other.

What is a quadrilateral?

A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. If two segments are perpendicular, the multiplication of their slopes is -1.

The slope of a coordinate pair is given by the change in y divided by the change in x, that is:

For the diagonal AD the slope will be:-

Slope = ( -5 + 3 ) / ( -2 – 4) = ( 1 / 3 )

For the diagonal BC, the slope will be:-

Slope= ( 1 – 3) / ( 4 – 2 ) = ( -2 / 2) = -1

The multiplication of the two slopes will be,

M = ( 1 / 3 ) x -1 = ( – 1 / 3 )

Therefore, the diagonals of the quadrilateral will not be perpendicular to each other. Because the product of the slope is not equal to -1.

diagonalsof the qudrilateral will not beperpendicularto each other.## What is a quadrilateral?

polygonwith four edges and fourcornersthat is used in geometry.gradientis the number or theratiowhich determines the direction or the steepness of the line. If twosegmentsare perpendicular, themultiplicationof their slopes is -1.coordinatepair is given by the change inydivided by the change in x, that is:ADthe slope will be:-BC, the slope will be:-multiplicationof the two slopes will be,diagonalsof the quadrilateral will not beperpendicularto each other. Because theproductof the slope is not equal to-1.quadrilateralsfollow