Question: 3. (25 pts) Proposition: A point X is on the perpendicular bisector of segment E if and only if X is equidistant from points A

3. (25 pts) Proposition: A point X is on the perpendicular bisector of segment E if and only if X is equidistant from points A and B. a. (5 pts) Explain what it means for X to be on the perpendicular bisector of segment E (5 pts) Explain what it means for X to be equidistant from points A and B. (4 pts) As a biconditional statement, in order to prove the whole statement we would need to prove both implications. Choose one direction and clearly write this statement asa conditional statement/implication (\"If. . ., then. . .\"). (5 pts) Sketch an image that represents the hypothesis of the implication you chose in part 3c in detail (6 pts) Use your previous answers and other knowledge to prove the implication you chose in part 30 (+5 pts) Bonus: Prove the other implication to completely prove the biconditional Proposition for problem 3

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