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.
To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.
That the two segments are equal.
vertical line segment
bcause you have to make it parallell or it's not a segment.
When two line segments have equal length, they are called congruent line segments. Congruence indicates that the segments can be superimposed onto each other, meaning they have the same size and shape. This concept is fundamental in geometry, particularly in the study of shapes and their properties.
Segments of equal length are congruent segments.
To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.
Segments of equal length are congruent segments. Shapes can also be congruent if their side lengths and angle measures are equal with each other.
That the two segments are equal.
Segments of equal length are called congruent segments. You can identify them by congruency marks. congruency marks look like this on your line: ---l-----------l---
congruent
vertical line segment
The midpoint.
congruent
Congruent
congruent
A point that divides a segment into two segments of equal length is a midpoint.