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.
By definition, a segment bisector always created two congruent segments.
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.
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.
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
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By definition, a segment bisector always created two congruent segments.
It Separates BC (Line on top) into two congruent line segments.
true
Not sure what an "irie" is. But a bisector does not need to be perpendicular.
true
If by "equal" you mean "equal in length", yes, that is the same as "congruent".
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
troihjrotihjwy
Not always because a perpendicular bisector can be constructed with compasses
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.
No.
When applied to two line segments, they are said to be congruent if they are both exactly the same length, but they need not be parallel to each other (they can also bisect each other). Thickness does not matter as lines have no thickness (thickness only applies to shapes). However, it should be noted that rays and lines are not congruent as their lengths are infinite. Rays have no defined end point while lines have neither a start nor an end point defined. Line segments always have both a start and an end point defined.