Suppose all of the points in the figure are equidistant. Start with your compass point on point B. To create a perpendicular bisector of BE, open the compass to _____ point D. a position between points B and C. point A. point C.

To create a perpendicular bisector of BE with a compass, you would start by placing the compass point on point B. Then, you would open the compass to a position between points B and C. So, the answer is: a position between points B and C.

To create a perpendicular bisector of BE, open the compass to point C, which is a position between points B and C.

To create a perpendicular bisector of line segment BE, you need to follow these steps:

1. Start with your compass point on point B.
2. Determine the midpoint of line segment BE by drawing an arc with your compass that intersects the line segment at two points.
3. Without changing the width of your compass, place your compass point on one of the intersecting points from the previous step (let's call it point D).
4. Draw an arc that passes through the other intersecting point and intersects line segment BE at two additional points.
5. Finally, draw a line segment connecting the midpoint of line segment BE (the point of intersection from step 2) and point D.

So, the compass should be opened to point D, which is a position between points B and C, in order to create the perpendicular bisector of BE.