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Delvig [45]
3 years ago
11

HELP ASAP HELP PLEASE ASAP

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Using this formula, we get

m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}

m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2

Now,

m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

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