Math, asked by technotronic771912, 10 months ago

If the points A(6, 1), B(8, 2), C(9, 4) and D(7, 3) are the vertices of a parallelogram, taken in order,
Prove that the point of intersection of diagonals is the midpoint of both the diagonals.
answer properly otherwise you will be reported

Answers

Answered by supriya1341
1

Answer:

p=7

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. So, coordinates of the mid-point of diagonal AC are same as the coordinates of the mid-point of diagonal BD.

∴(

2

6+9

,

2

1+4

)=(

2

8+p

,

2

2+3

)

⇒(

2

15

,

2

5

)=(

2

8+p

,

2

5

)

2

15

=

2

8+p

⇒15=8+p⇒p=7

hope it helps you

Answered by atahrv
2

Heyya...

Here is your answer in the image...

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