Proofs Using Coordinate Geometry

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(d,c)

In the coordinate plane, three vertices of rectangle MNOP are M(0,0), N(0,c), and P(d,0). What are the coordinates of point O?

(d+f+g, 2e)

Three vertices of the trapezoid are A(4d,4e), B(4f,4e), and C(4g,0). The fourth vertex lies on the origin. Find the midpoint of the midsegment of trapezoid.

scalene

Which of the following describes ∆TVS? The vertices are T(1,1), V(4,0), and S(3,5).

square root of (a+b)²+c²

Which of the following represents the length of a diagonal of this trapezoid?

rhombus

A quadrilateral has vertices (2,0), (0,2), (-2,4), and (-4,2). Which special quadrilater is formed by connecting the midpoints of the sides?


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