Assume AB¯¯¯¯¯¯¯¯ has already been constructed. To construct the perpendicular bisector of AB¯¯¯¯¯¯¯¯ , first put the compass point on point A and draw a long arc. Is there a maximum distance for the compass setting at this step? Explain.(1 point) Responses Yes, the compass setting must be less than one half the length of AB¯¯¯¯¯¯¯¯ . If the setting were greater, the arcs at each endpoint would not intersect. If the setting were less than one half the length of AB¯¯¯¯¯¯¯¯ , the arcs would intersect only once at the midpoint of AB¯¯¯¯¯¯¯¯ . Yes, the compass setting must be less than one half the length of line segment cap A cap b. If the setting were greater, the arcs at each endpoint would not intersect. If the setting were less than one half the length of line segment cap A cap b, the arcs would intersect only once at the midpoint of line segment cap A cap b. Yes, the compass setting must be less than one half the length of AB¯¯¯¯¯¯¯¯ . If the setting were greater, the arcs would intersect only once at the midpoint of AB¯¯¯¯¯¯¯¯ . If the setting were exactly one half the length of AB¯¯¯¯¯¯¯¯ , the arcs centered at each endpoint would not intersect. Yes, the compass setting must be less than one half the length of line segment cap A cap b. If the setting were greater, the arcs would intersect only once at the midpoint of line segment cap A cap b. If the setting were exactly one half the length of line segment cap A cap b, the arcs centered at each endpoint would not intersect. No, for any compass setting greater than one half the length of AB¯¯¯¯¯¯¯¯ , the arcs would intersect in one point above the segment. No, for any compass setting greater than one half the length of line segment cap A cap b, the arcs would intersect in one point above the segment. No, for any compass setting greater than one half the length of AB¯¯¯¯¯¯¯¯ , the arcs would intersect in two places, one above and one below the segment. No, for any compass setting greater than one half the length of line segment cap A cap b, the arcs would intersect in two places, one above and one below the segment.
Yes, the compass setting must be less than one half the length of AB¯¯¯¯¯¯¯¯. If the setting were greater, the arcs at each endpoint would not intersect. If the setting were less than one half the length of AB¯¯¯¯¯¯¯¯, the arcs would intersect only once at the midpoint of AB¯¯¯¯¯¯¯¯.
