Question

About which line should the rectangle ABCD be reflected in order to get the rectangle ABCD?

• A. Line $x=-1$
• B. line $y=2$
• C. line $x=2$
• D. line $y=-2$

Answer 1

The correct option is A Line $x=-1$

A line of symmetry is a line that divides a figure into two corresponding parts, each of which is the mirror image of the other.

From the line of symmetry mirror point should be lie in same distance corresponding to its original point.

it is very clear that line of symmetry will parallel to the $Y$-axis.

Now check the reflection for point $A$

From the given figure ,coordinate of point $A$ is $(2,2)$,and coordinate of point $A^{{}^{\prime }}$ is $(-4,2)$

$Y$-coordinates of both original and mirror image are same ,hence line of symmetry will parallel to $Y$-axis.

From the line $x=-1$ distance between $A$ and $A^{{}^{\prime }}$ is same i.e. $3$ unit .

hence $x=-1$ is line of symmetry of given figure.