Question

Trapezoid WXYZ has vertices W(−1, 2) , X(2, 2) , Y(3, −1) , and Z(−3, −1) .

Answer 1

Answer:

The given trapezium is not an isosceles trapezium.

Step-by-step explanation:

Given:

Coordinates of the vertices of a trapezium:

• $W (x_w,y_w)=(-1,2)$

• $X(x_x,y_x)=(2,2)$

• $Y(x_y,y_y)=(3,-1)$

• $Z(x_z,y_z)=(-3,-1)$

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:

$XY=\sqrt{(x_x-x_y)^2+(y_x-y_y)^2}$

$XY=\sqrt{(2-3)^2+(2-(-1))^2}$

$XY=\sqrt{10}$ ..............................................(1)

Now,

$ZW=\sqrt{(x_z-x_w)^2+(y_z-y_w)^2}$

$ZW=\sqrt{(-3-(-1))^2+(-1-2)^2}$

$ZW=\sqrt{13}$ .........................................(2)

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

Answer 2

She is right its ( is not) just took the test