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A parallelogram has vertices A(0, 4), B(2, 2), C(4, 4), and D(2,6). Is this parallelogram a square? Explain why or why not.

write a paragraph explaining why

Respuesta :

If we take the adjacent side AD and DC  and work out their slopes we get 
AD = (6-4)/(2-0)  = 1 and DC has slope (6-4)/(2-4)  = -1 . This shows that the angle between the 2 lines is 90 degrees so it looks like  this is a square. If you include the slopes  of each adjacent line they are at right angles too.  Now to prove its a square  each line must be of equal length and you'll find this is the case too. 
raphealnwobi

All the sides of the parallelogram are equal and the angles measure 90 degrees, hence it is a square.

Square

A square is a quadrilateral (has four sides and four angles) in which all the sides are equal to each other, Opposite sides are parallel to each other and all the angles measure 90 degrees each.

All the sides of the parallelogram with vertices vertices A(0, 4), B(2, 2), C(4, 4), and D(2,6) are equal and the angles measure 90 degrees, hence it is a square.

Find out more on Square at: https://brainly.com/question/25092270

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