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Line CD is the perpendicular bisector of segment AB. The lines intersect
at point E. Which of these statements is true?
(Hint: it may help to draw a picture, but you don't have to turn it in!)
There is not enough information to be sure.
O E is closer to A than to B.
O E is closer to B than to A.
O E is the same distance from A and B.
plz help me understand this

Respuesta :

Histrionicus

Answer:

Option - E is the same distance from A and B.

Explanation:

Perpendicular bisector  can be understood by this explanation:

If line n is intersected by line n at the center of line n

, then  line m is the perpendicular bisector of line n

There are 4 right angles formed due to this perpendicular bisector around this mid-point

∵ Line CD ⊥ of segment AB

∴ Line CD intersects segment AB at the middle point of AB

∵ Line CD and segment AB intersected at point E

so, E ∈ AB  and  E ∈ CD

⇒ Point E is the mid-point of line AB

⇒ E is the same distance from A and B.

Thus, the correct option is -  E is the same distance from A and B.