Question

A (1, 1)

B (1, 3)
C (4, 3)
Rectangle ABCD has the coordinates shown.

Find the coordinates of point D.
A) (5, 1)
B) (4, 2)
C) (3, 1)
D) (4, 1)

Answer 1

The answer is D.......

Answer 2

The coordinate of D is (4,1)

D is correct

Explanation:

A (1, 1)

B (1, 3)

C (4, 3)

ABCD is a rectangle.

Let coordinate of D be (x,y)

As we know mid point of both diagonal is same.

In rectangle ABCD

Diagonals are AC and BD.

So, Mid point of AC = Mid point of BD

Formula:

`\text{Mid-Point }=((x_1+x_2)/(2),(y_1+y_2)/(2))`

`\text{Mid-Point of AC }=((1+4)/(2),(1+3)/(2))\rightarrow ((5)/(2),2)`

`\text{Mid-Point of BD }=((1+x)/(2),(y+3)/(2))`

`(1+x)/(2)=(5)/(2)\Rightarrow x=4`

`(y+3)/(2)=2\Rightarrow y=1`

Hence, The coordinate of D is (4,1)