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¯¯¯¯¯¯¯¯
.
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.
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