Qaudriladrial ABCD had cordinates A (3, 5) B(5, 2) C(8, 4) D(6, 7) qaudriladrial ABCD is a what?

Mathematics

1 answer:

Lorico [155]2 years ago

8 0

The quadrilateral is a square

<h3>What are quadrilaterals?</h3>

Quadrilaterals are polygons, that have four sides and four corners

The coordinates are given as:

A = (3, 5)
B = (5, 2)
C = (8, 4)
D = (6, 7)

Start by calculating the adjacent side lengths using:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

So, we have:

$AB = \sqrt{(3- 5)^2 + (5- 2)^2}$

$AB = \sqrt{13}$

$BC = \sqrt{(8- 5)^2 + (4- 2)^2}$

$BC = \sqrt{13}$

The side lengths are equal.

Hence, the quadrilateral is a square

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