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kkurt [141]
2 years ago
14

three vertices of a rectangle are located at (5,3), (7,1), and (1,-1). what are the coordinates of the fourth vertex?

Mathematics
2 answers:
guapka [62]2 years ago
5 0

Answer:(3,-3)

Step-by-step explanation:

SVETLANKA909090 [29]2 years ago
3 0

I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.

At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.

From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.

I hope this helps

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