Math, asked by karananchan622, 1 month ago

show that (-2,1) ; (0, 3) , (2, 1) and (0, 1) are the vertices of a parallelogram​

Answers

Answered by alkasurin37
0

Step-by-step explanation:

If the points are P(x

1

,y

1

) and Q(x

2

,y

2

), the slope of the line joining PQ is

x

2

−x

1

y

2

−y

2

For points, A(−2,1),B(0,3),C(2,1) and D(0,−1),

Slope of AB=

0+2

3−1

=1

Slope of BC=

2−0

1−3

=−1

Slope of CD=

0−2

−1−1

=1

Slope of DA=

0+2

−1−1

=−1

Clearly slope of AB= Slope of CD, hence, AB∥CD.

Clearly slope of BC= Slope of DA, hence, BC∥DA.

Since, the set of opposite sides are parallel to each other.

Thus, □ABCD are the vertices of a parallelogram

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