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Mathematics 19 Online
OpenStudy (anonymous):

Geometry question! PLEASE HELP!!!

OpenStudy (anonymous):

If the product of the slopes of the diagonals of a quadrilateral are -1, what classifications could be given to the quadrilateral? Explain.

OpenStudy (alexandervonhumboldt2):

diagonals are perpendicular thus it is a square

OpenStudy (alexandervonhumboldt2):

only squre has _|_ diagonals

OpenStudy (anonymous):

But if the slope of both is -1, then wouldn't they be parallel?

OpenStudy (alexandervonhumboldt2):

no

OpenStudy (alexandervonhumboldt2):

-1 is product of slopes

OpenStudy (anonymous):

Meaning what?

OpenStudy (alexandervonhumboldt2):

that the figure is a square

OpenStudy (anonymous):

I just don't understand exactly why it's a square.

OpenStudy (alexandervonhumboldt2):

only square has perpendicular diagonals diagonals are perendicular as it is written

OpenStudy (alexandervonhumboldt2):

product of slopes of perpendicular lines is -1

OpenStudy (alexandervonhumboldt2):

product of your slopes is -1

OpenStudy (alexandervonhumboldt2):

thus it is a square

OpenStudy (anonymous):

Okay thank you. :)

Directrix (directrix):

@BassCatcher15 The diagonals of a rhombus are perpendicular as well. @AlexandervonHumboldt2

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