Question

A rectangle of sides parallel to coordinate axes is shown in below figure. Find the remaining vertices coordinates.

• A. B=(10,2)
  C=(3,6)
  D=(10,6)
• B. B=(10,2)
  C=(10,6)
  D=(3,6)
• C. B=(3,6)
  C=(10,6)
  D=(10,2)
• D. B=(10,6)
  C=(10,2)
  D=(3,6)

Answer 1

The correct option is B

B=(10,2)
C=(10,6)
D=(3,6)

Given A =(3,2) and sides are parallel to coordinate axes.

$\therefore AB$ and CD are parallel to X-axis and AD,BC are parallel to Y-axis

$\therefore$ Y-coordinate of B =Y-coordinate of A

=2

X-coordinate of B= 7+X -coordinate of A

=7+3 =10

$\therefore B=(10,2)$

X-coordinate of D =X-coordinate of A = 3

Y-coordinate of D =4+ Y-coordinate of A = 4 +2 = 6

$\therefore$ D =(3,6)

Now Y-coordinate of C= Y-coordinate of D =6

X-coordinate of C=7+ X-coordinate of D = =7+3 =10

$\therefore$ C =(10,6)