In the picture, the midpoints of the sides of the large quadrilateral are joined to draw the small quadrilateral inside.

i) Find the coordinates of the fourth vertex of the small quadrilateral.

ii) Find the coordinates of the other three vertices of the large quadrilateral.

Question

Philoid · Accepted Answer

Let the three vertices of larger quadrilateral be A, B ,C

⇒ A(x) = 4

⇒ A(y) = 5

A(4 ,5)

⇒ B(x) = 8

⇒ B(y) = 7

B(8,7)

⇒ C(x) = 14

⇒ C(y) = 5

C(14,5)

Let the fourth vertex of the smaller quadrilateral be (a,b)

⇒ a = 8

⇒ b = 3

Three vertices of larger quadrilateral are A(4 ,5) , B(8,7) & C(14,5) and the fourth vertex of the smaller quadrilateral is (8,3)

In the picture, the midpoints of the sides of the large quadrilateral are joined to draw the small quadrilateral inside.i) Find the coordinates of the fourth vertex of the small quadrilateral.ii) Find the coordinates of the other three vertices of the large quadrilateral.