# The coordinates of the vertices of a rectangle are (-2,6), (10,6), (10,-3), (-2,-3). what is the length of a diagonal of the rectangle?

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by Paulkenneth

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by Paulkenneth

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d=√[(-2-(-2))²+(6-(-3))²]

d=√[(0)²+(9)²]

d=√[0+81]

d=√81

d=9

Length of the diagonal is 9 units.

Points on opposite quadrants, when connected form the diagonals of the rectangle.

Its diagonals are congruent.

Quadrant I (+,+) and Quadrant III (-,-) are opposites.

Quadrant II (-,+) and Quadrant IV (+,-) are opposites.

Points/Vertices (10, 6) and (-2, -3) are opposites.

Points/Vertices (-2, 6) and ( 10, -3) are opposites.

Solve for the length of a diagonal of the rectangle by using the distance formula:

DISTANCE =

D =