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What is the most precise name for a quadrilateral with the following vertices:

A(2,3) B(7,2) C(6,-1) D(1,0)

User Amit Shah
by
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1 Answer

4 votes

Therefore it is a parallelogram.

Explanation:

Given the vertices of the quadrilateral are A(2,3) , B(7,2), C(6,-1) and D(1,0)

The length of AB is
=√((2-7)^2+(3-2)^2)
=√(26) units

The length of BC is
=√((7-6)^2+(2+1)^2)
=√(10) units

The length of CD is
=√((6-1)^2+(-1-0)^2)
=√(26) units

The length of DA is
=√((1-2)^2+(0-3)^2)
=√(10) units

The length of AC is
=√((2-6)^2+(3+1)^2)
=4√(2) units

The length of BD is
=√((7-1)^2+(2-0)^2) =
2√(10) units

Here length of AB = length of CD ,

length of BC= length of DA and

length of AC ≠ length of BD

In this quadrilateral, the opposite sides are equal but the diagonals are not equal

Therefore it is a parallelogram.

User Paniq
by
7.9k points

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