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How many bisectors could a segment have?
A segment has exactly one bisector. This bisector is a line (or line segment) that divides the original segment into two equal parts and is perpendicular to it. No matter the length of the segment, the unique bisector will always pass through the midpoint of the segment.
If a point lies on the perpendicular bisector of a segment then the point is always equidistant from the endpoints of the segment?
true
A perpendicular bisector crosses a line segment. which type of angle does it form with the segment?
A perpendicular bisector intersects a line segment at a right angle, forming two 90-degree angles with the segment. This means that the angle between the bisector and the line segment is always a right angle, indicating that the bisector divides the segment into two equal parts.
Is it true that a segments bisector will always be congruent to the segment?
No, it is not true that a segment's bisector will always be congruent to the segment itself. A segment bisector is a line, ray, or segment that divides the original segment into two equal parts, but the bisector itself does not have to be equal in length to the original segment. For example, if you have a segment of length 10 units, its bisector will simply divide it into two segments of 5 units each, but the bisector itself can be of any length and orientation.
Must a bisector of a segment always be a perpendicular line?
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
Is a circle can not form a perpendicular bisector?
A circle itself does not form a perpendicular bisector because a perpendicular bisector is a line that divides a segment into two equal parts at a right angle, typically associated with straight segments. However, the concept of a perpendicular bisector can be applied to chords within a circle. The perpendicular bisector of a chord will always pass through the center of the circle.
Is a protractor necessary to construct a perpendicular bisector?
Not always because a perpendicular bisector can be constructed with compasses
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
Is the altitude of a triangle always the perpendicular bisector?
No.
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.
Can a segment bisector create two congruent segments?
By definition, a segment bisector always created two congruent segments.
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
