Trapezoid WXYZ has vertices W(−1, 2) , X(2, 2) , Y(3, −1) , and Z(−3, −1) .
Is the trapezoid an isosceles trapezoid?

Select from the drop-down menu to correctly complete the statement.

A trapezoid is a convex-quadrilateral whose one pair of opposite sides are parallel but not equal in length, which lead to a pair of non-parallel sides.

It holds all the properties of a convex- quadrilateral.

When the non-parallel sides of the the trapezium are equal in length then the trapezium is said to be isosceles.

From the attached schematic we find the length of the non-parallel sides.

We know that the distance between two points can be evaluated as:

[tex]XY=\sqrt{(x_x-x_y)^2+(y_x-y_y)^2}[/tex]

[tex]XY=\sqrt{(2-3)^2+(2-(-1))^2}[/tex]

[tex]XY=\sqrt{10}[/tex] ..............................................(1)

Now,

[tex]ZW=\sqrt{(x_z-x_w)^2+(y_z-y_w)^2}[/tex]

[tex]ZW=\sqrt{(-3-(-1))^2+(-1-2)^2}[/tex]

[tex]ZW=\sqrt{13}[/tex] .........................................(2)

Therefore, from eq. (1) & (2) we can conclude that the given trapezium is not an isosceles trapezium.

Trapezoid WXYZ has vertices W(−1, 2) , X(2, 2) , Y(3, −1) , and Z(−3, −1) . Is the trapezoid an isosceles trapezoid? Select from the drop-down menu to correctly complete the statement.

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Trapezoid WXYZ has vertices W(−1, 2) , X(2, 2) , Y(3, −1) , and Z(−3, −1) .
Is the trapezoid an isosceles trapezoid?

Select from the drop-down menu to correctly complete the statement.