Question

20. In the figure, coordinates of two vertices of a rhombus are A(-1, 2) and C(7,2).
D
A
(-1,2)
(7,2)
(a)
Write the coordinates of midpoint of the diagonal AC.
If the length of diagonal BD is 6, write the coordinates of other two vertices
Calculate the length of one side of the rhombus.
(c)​

Answer 1

Answer:

Given :

Vertices of a parallelogram are A ( 1 , - 2 ) , B ( 2 , 3 ) , C ( k , 2 ) and D ( - 4 , - 3 ).

We know Diagonal of parallelogram bisect each other .

Midpoint of AC = mid point of BD

= > ( 1 + k / 2 , -2 + 2 / 2 ) = ( - 4 + 2 / 2 , - 3 + 3 / 2 )

= > 1 + k / 2 = - 2 / 2

= > 1 + k = - 2

= > k = - 3 .