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Yes, the midpoint of a given line segment must lie on that line segment. The midpoint is defined as the point that is equidistant from both endpoints of the segment, effectively dividing it into two equal parts. Therefore, by definition, the midpoint cannot exist outside of the line segment itself.
What else can I help you with?
Does the midpoint of a given line segment must lieon the given line segment?
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.
Can a segment bisect a line?
No. Since a line is infinite, it has no mid-point. A bisector must go through a midpoint so nothing can bisect a line (not even a segment).
If a point is equidistant from the endpoints of a segment then it must be the midpoint of the segment?
Yes, if a point is equidistant from the endpoints of a segment, it must be the midpoint of that segment. This is because the midpoint is defined as the point that divides the segment into two equal lengths, making it the only point that maintains equal distance to both endpoints. Therefore, being equidistant from both endpoints confirms that the point is indeed the midpoint.
What must you do to construct the midpoint of a segment?
With a straight-edge and a compass:Swing arcs from each end of the segment with the compass (without changing the settings)Connect the intersections of these arcs.The resultant is a perpendicular bisector of the segment.
What must be true if a segment intersects another segment at more than one point?
That means that it is not a line segment.
Does the midpoint of a given line segment must lieon the given line segment?
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.
The midpoint of a given line segment must lie on the given line segment?
true
What must be true about a perpendicular bisector and the segment it bisects?
It bisects the line segment at midpoint at 90 degrees and its slope is the reciprocal of the line segment's slope plus or minus.
Can a segment bisect a line?
No. Since a line is infinite, it has no mid-point. A bisector must go through a midpoint so nothing can bisect a line (not even a segment).
If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment?
Yes
If a point is equidistant from the endpoints of a segment then it must be the midpoint of the segment?
Yes, if a point is equidistant from the endpoints of a segment, it must be the midpoint of that segment. This is because the midpoint is defined as the point that divides the segment into two equal lengths, making it the only point that maintains equal distance to both endpoints. Therefore, being equidistant from both endpoints confirms that the point is indeed the midpoint.
To construct a perpendicular bisector to a given line segment one must construct two?
Equilateral triangles
If point A is not the midpoint of CT the CA can't equal AT?
If point A is not the midpoint of segment CT, it means that the distances from point C to point A (CA) and from point A to point T (AT) are not equal. The definition of a midpoint is that it divides a segment into two equal parts, so if A is not the midpoint, CA must be different from AT. Therefore, CA cannot equal AT if A is not the midpoint of CT.
What must you do to construct the midpoint of a segment?
With a straight-edge and a compass:Swing arcs from each end of the segment with the compass (without changing the settings)Connect the intersections of these arcs.The resultant is a perpendicular bisector of the segment.
What must be true if a segment intersects another segment at more than one point?
That means that it is not a line segment.
How many planes must intersect to from a line?
A line segment can be defined as having two endpoints
Example of lines of symmetry in a nonagon?
A line of symmetry must go from one vertex to the midpoint of the opposite side.
