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On a coordinate plane, kite U V W X with diagonals is shown. Point U is at (negative 2, 5), point V is at (5, 4), point W is at (8, negative 5), and point X is at (negative 1, negative 2).

Prove that the diagonals of kite UVWX are perpendicular.



Step 1: Determine the slope of XV.



The slope of XV is

.





Step 2: Determine the slope of UW.



The slope of UW is

.



Step 3: The slopes of the diagonals are

.



The diagonals of kite UVWX are

.

Respuesta :

The information about the coordinate plane shows that the slope of XV is 1.

How to illustrate the information?

From the information, the slopes of the diagonals are negative reciprocals. Therefore, the slope of UW is -1 and the slope of XV is 1.

The diagonals of kite UVWX are perpendicular.

It should be noted that negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

Learn more about coordinate plane on:

https://brainly.com/question/10737082

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