If the vertices of the quadrilateral ABCD are

Question

A(6, 6), B(0, 4), C(–2, 0), D(1, 4), show that the quadrilateral? 

 show that the quadrilateral is NOT a parallelogram.

 

Answer 1

The vertices are A (6,6),B (0,4), C(-2,0), D(1,4)

Any four-sided shape is a Quadrilateral.

But the sides have to be straight, and it has to be 2- dimensional.

Draw the coordinate plane.

Plot the points A, B, C, D.

Connect the plotted points.

So ABCD is quadrailateral.

Now verify the quadrailateral is a paralleogram

Now find the distances of each side of quadrailateral. (using distance formula between two points)

Observe the side lenths of quadrailateral they are not equal another.

Each side lenth is different.

From the properties of paralleogram, two pairs of Parallel sides and opposite sides equal.

From the graph we observe the sides are n't parallel.

ABCD is not a paralleogram.