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 minimum distance for the compass setting at this point? Explain.(1 point)
Responses
Yes, the compass setting must be greater than one half the length of AB¯¯¯¯¯¯¯¯
. If the setting were less, the arcs centered at each endpoint would not intersect. If the setting were exactly half of AB¯¯¯¯¯¯¯¯
, the arcs would intersect at the midpoint of AB¯¯¯¯¯¯¯¯
and not at two places.
Yes, the compass setting must be greater than one half the length of line segment cap A cap b . If the setting were less, the arcs centered at each endpoint would not intersect. If the setting were exactly half of line segment cap A cap b , the arcs would intersect at the midpoint of line segment cap A cap b and not at two places.
No, for any compass setting less than one half the length of AB¯¯¯¯¯¯¯¯
, the arcs will intersect in two points, one above the segment and one below.
No, for any compass setting less than one half the length of line segment cap A cap b , the arcs will intersect in two points, one above the segment and one below.
Yes, the compass setting must be greater than one half the length of AB¯¯¯¯¯¯¯¯
. If the setting were less, the arcs would intersect 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 greater than one half the length of line segment cap A cap b . If the setting were less, the arcs would intersect 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.
Yes, the compass setting must be equal to one half the length of AB¯¯¯¯¯¯¯¯
. If the setting were less than or greater than one half the length of AB¯¯¯¯¯¯¯¯
, the arcs centered at each endpoint would not intersect.