Question

20. If the points A(-2, -1), B(1, 0), C(p, 3) and D(1,q) form a parallelogram ABCD, find
the values if p and q

20
pls answer step by step​

Answer 1

Answer:

first of all,we know that the diagonals of a Parallelogram are bisect each other.

Step-by-step explanation:

so,the mid-point of parallelogram is same.

then we have to apply mid-point formula.

therefore,

midpoint of AC=midpoint of BD

(-2+p/2 )+ (-1+3/2)=(1+1/2 )+ (0+q/2)

after solving,

-2+p/2 + 2/2= 2/2 + q/2

-2+p/2 + 1 = 1 + q/2

Now, we to equate the co-ordinate of x and y

therefore, -2+p/2 =1 and 1 =q/2

after crossmultiplying,we get

-2+p =2×1 and 1×2=q

-2+p = 2 and 2 =q

p= 2+2 and q =2

p= 4 and q = 2

hope you get your answer and tell me my answer is correct and wrong.

Answer 2

Answer:

p = -2, q = 4

Step-by-step explanation:

attached the image of solution, step by step...

please brain list the answer, thanks