Question

4. If
the points A (6, 1), B(8, 2), C(9, 4) and D (k, p) are the vertices of
a parallelogram taken in order, then find the values of k and p.
​

Answer 1

Answer:

(7,2)

Step-by-step explanation:

We know that diagonals of parallelogram bisect each other,

therefore mid point of AC = mid point of BD.

Mid point of AC=

(6+9/2, 1+4/2)

(15/2, 5/2)

Mid point of BD=

8+K/2, 2+P/2 = 15/2, 5/2

8+K/2 = 15/2

8+K = 15

K = 15-8

K= 7

2+P/2 =5/2

2+P = 5

P= 5-3

P=2

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