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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

Sagot :

shubhamchouhanvrVT

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.

To know more about quadrilaterals follow

https://brainly.com/question/16691874

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