Question

Over which of the following lines is the rectangle $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ the mirror image of the rectangle $ABCD$?

• A. $x=0$
• B. $y=0$
• C. $y=1$
• D. None of the above

Answer 1

The correct option is B $y=0$

We know: In coordinate plane, each point and its mirror image must be at the same distance from the mirror line.
Here, $A(-3,3)$ is reflected to $A^{\prime }(-3,-3)$
$B(-1,3)\to B^{\prime }(-1,-3)$
$C(-1,2)\to C^{\prime }(-1,-2)$
$D(-3,2)\to D^{\prime }(-3,-2)$
We know: If the $x-$ coordinate remains same, but the $y-$coordinare are transformed into its opposite signs, the reflection is about $X-$ axis.