Question

ABCD is a rectangle with vertex A(0,0) as shown in below figure. If C =(5,6) then find the coordinates of B and D.

• A. B =(6,0)
  D =(0,5)
  
• B. B =(0,0)
  D =(5,0)
  
• C. B =(5,0)
  D =(0,6)
  
• D. B =(0,5)
  D =(6,0)
  

Answer 1

The correct option is C

B =(5,0)
D =(0,6)

Given C =(5,6) and A =(0,0)

The distance to C from X-axis =6 units

$\therefore$ BC =AD =6 units

The distance to C from Y -axis =5 units

$\therefore$ AB = CD =5 units

$\because$ B lies on X -axis and AB =5

$\therefore$ coordinate of B =(5,0)

and D lies on Y -axis and AD =6

$\therefore$ D =(0,6)

$\therefore$ B =(5,0) and D =(0,6)