2. in this diagram, line segment cd is the perpendicular bisector of line segment ab. assume the conjecture…

2. in this diagram, line segment cd is the perpendicular bisector of line segment ab. assume the conjecture that the set of points equidistant from a and b is the perpendicular bisector of ab is true. is point e closer to point a, closer to point b, or the same distance between the points? explain how you know. ab ⊥ cd

2. in this diagram, line segment cd is the perpendicular bisector of line segment ab. assume the conjecture that the set of points equidistant from a and b is the perpendicular bisector of ab is true. is point e closer to point a, closer to point b, or the same distance between the points? explain how you know. ab ⊥ cd

Answer

Explanation:

Step1: Recall the property

The set of points equidistant from A and B is the perpendicular bisector of AB.

Step2: Analyze point E's position

Point E is not on the perpendicular bisector CD of AB.

Step3: Determine the distance

Points on the perpendicular bisector are equidistant from A and B. Since E is not on it, it is closer to either A or B. By visual inspection (or using the fact that we can draw right - angled triangles and apply the Pythagorean theorem), we can see that E is closer to A.

Answer:

Point E is closer to point A.