17.8k views
16 votes
A quadrilateral has vertices A(3,0),B(-4,4),C(-7,0) and D(-3,-5).Find the midpoints coordinates of each sides

User Orchid
by
3.9k points

1 Answer

5 votes

Answer:

See explanations below

Explanation:

Given the quadrilateral ABCD

A(3,0),B(-4,4),C(-7,0) and D(-3,-5)

The sides of the quadrilateral are AB, BC, CD and AD

The midpoint coordinate of the line is expressed as;

X = x1+x2/2

Y = y1+y2/2

Given A(3,0),B(-4,4)

Midpoint of AB = (3-4/2, 0+4/2)

midpoint of AB = (-0.5, 2)

Given B(-4, 4),C(-7, 0)

Midpoint of BC = (-4-7/2, 4+0/2)

midpoint of BC = (-11/2, 4/2)

Midpoint of BC = (-5.5, 2)

Given C(-7, 0) D(-3,-5)

Midpoint of CD = (-7-3/2, 0-5/2)

midpoint of CD = (-10/2, -5/2)

Midpoint of CD = (-5, -2.5)

Given A(3,0),D(-3, -5)

Midpoint of AD = (3-3/2, 0-5/2)

midpoint of AD = (0/2, -5/2)

Midpoint of AD = (0, -2.5)

User Mattew Whitt
by
3.7k points