mid-point
A point that divides a segment into two segments of equal length is a midpoint.
A segment is divided into two congruent segments by its midpoint. The midpoint is the point that is equidistant from both endpoints of the segment, effectively splitting it into two equal lengths. This division ensures that the two resulting segments are congruent, meaning they have the same measure.
midpoint
Midpoint.
The line that divides a segment into two congruent segments is called the perpendicular bisector. This line intersects the segment at its midpoint and forms right angles with the segment, ensuring that the two resulting segments are equal in length.
mid-point
This line is called the midpoint of the segment. It is located exactly halfway between the endpoints of the segment, dividing it into two equal segments.
Segments of equal length are congruent segments. Shapes can also be congruent if their side lengths and angle measures are equal with each other.
This point is called the midpoint.
midpoint
A point that bisects a segment into two congruent segments is known as the midpoint. It is located at the halfway mark of the segment, dividing it into two equal lengths. Mathematically, if a segment has endpoints A and B, the midpoint M can be calculated using the formula M = (A + B) / 2. This ensures that the lengths of segments AM and MB are equal.
To prove that segments are equal, you can use various methods, such as the Segment Addition Postulate, which states that if two segments are composed of the same subsegments, they are equal. Additionally, you can employ the properties of congruence, such as the Reflexive Property (a segment is equal to itself), or the Transitive Property (if segment AB is equal to segment CD, and segment CD is equal to segment EF, then segment AB is equal to segment EF). Geometric constructions and the use of measurement tools can also provide empirical evidence of equal lengths.