Question

Determine the coordinate points of reflection of the figure $ABCD$ by the line $x=y$.

Denote $A^{/}{B}^{/}{C}^{/}{D}^{/}$ as the image of the original figure.

• A. $A^{/}=(1,5)$
  $B^{/}=(1,6)$
  $C^{/}=(3,7)$
  $D^{/}=(3,6)$
• B. $A^{/}=(6,1)$
  $B^{/}=(5,1)$
  $C^{/}=(6,3)$
  $D^{/}=(7,3)$
• C. $A^{/}=(3,6)$
  $B^{/}=(3,7)$
  $C^{/}=(1,6)$
  $D^{/}=(1,5)$

Answer 1

The correct option is A $A^{/}=(1,5)$

$B^{/}=(1,6)$
$C^{/}=(3,7)$
$D^{/}=(3,6)$
We know that for mirror line $x=y$, the abscissa and ordinate points of corresponding coordinate points of the figure get interchanged.

Here,
$A=(5,1)$
$B=(6,1)$
$C=(7,3)$
$D=(6,3)$

If $A^{/}$, $B^{/}$, $C^{/}$ and $D^{/}$ represents the corresponding coordinate points of the image by the line $y=x$, then

$A^{/}=(1,5)$
$B^{/}=(1,6)$
$C^{/}=(3,7)$
$D^{/}=(3,6)$

Plotting these points in coordinate plane, we get