Question

Larissa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assigning coordinates as given.

Answer 1

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Answer 2

Coordinates are not show however Larissa would need to prove that the slope of the diagonals are negative reciprocals of each other. For example if the slope of one diagonal is 1/2, the other diagonal should be -2/1. To find slope for each diagonal assign coordinates values of (x1,y1) and (x2,y2) then subtract y2-y1 and x2-x1. Then divide the change in y by the change in x for each line. The coordinates are the endpoints of each diagonal, the vertices of the square.