The coordinates of the vertices of parallelogram CDEH are C(-5, 5), D(2, 5), E(-1, -1) and H(-8, -1). What are the coordinates of P, the point of intersection of diagonal CE and DH?

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wgom9845 wgom9845 · Answer 1 · 2020-05-21T01:40:33+02:00

Answer:(-3,2)

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YashBhattar YashBhattar · Answer 2 · 2022-05-26T14:12:16+02:00

The coordinates of the intersection point P of the diagonal CE and DH is (-3,2)

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The vertices of the parallelogram are the corners of a polygon or the point where any two sides of the parallelogram meet

Given,

Vertices of the parallelogram CDEH= C(-5,5), D(2,5), E(-1,-1) and H(-8,-1)

Parallelogram diagonals are CE and DH

Since the diagonals of the parallelogram bisects each other, mid point of the CE and DH will be the intersecting point of diagonals

Using the mid point theorem,

Mid point of CE is,

C(-5,5) and E(-1,-1)

x= [tex]\frac{-5-1}{2}=-3[/tex]

y = [tex]\frac{5-1}{2}=2[/tex]

Mid point of the CE is (-3,2)

Hence, the coordinates of the intersection point P of the diagonal CE and DH is (-3,2)

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