Question

In figure, if triangle $ABC$ is reflected over line l, find the reflected coordinates of point B.

• A. $(4,1)$
• B. $(4,4)$
• C. $(4,6)$
• D. $(4,7)$

Answer 1

The correct option is D $(4,7)$

Now, we should reflect point $B$ with respective to line $l$, let the reflected point coordinates be $(h,k)$.
Since, $B$ is reflected wrt line $l$ which is parallel to $X$-axis, the $X$-coordinate will be same.

Moreover, the midpoint of $B$ and reflected point $(h,k)$ lies on line $l$.

Therefore, $h=4$ and $\frac{(k-1)}{2}=3$, which gives $h=4$ and $k=7$.
Therefore, the reflected point is $(4,7)$.