Recall the Perpendicular Bisector Theorem.
The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn. Consider the image below:
From the image, we have:
[tex]\begin{gathered} MT=NT \\ MS=NS \\ MR=NR \\ MQ=NQ \end{gathered}[/tex]
From the question provided, if the distance AE is 7 units, then the distance EB will be 7 units as well. This is because all points on a perpendicular bisector are equidistant from the endpoints.
ANSWERS
1) OPTION B is correct.
2) OPTION A is correct.
