A cube has 12 intersecting line segments or edges, 6 faces and 8 vertices.
No. They are coterminal or intersecting.
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.
No, intersecting lines form four pairs of supplementary angles
Angles that are pairs of opposite and congruent lines formed by intersecting lines are intersections
By definition, any lines/segments that are perpendicular to each other either do, or (in the case of non-intersecting segments) would, intersect each other at right angles. A right angle being a 90* angle. Therefore, perpendicular, intersecting line segments will form 4 90* angles.
an intersecting line segment is when two line segments cross together
Intersecting line segments
A cube has 12 intersecting line segments or edges, 6 faces and 8 vertices.
All of them. If its truly intersecting lines, they have to form right angles. All of them. If its truly intersecting lines, they have to form right angles.
two adjacent angles formed by two intersecting tines are
No. They are coterminal or intersecting.
Opposite angles are equivalent when formed by two intersecting lines
No. "Intersecting" just mean that they cross. "Perpendicular" means, specifically, that they cross at a right angle. Actually, in the case of segments, they don't even need to cross to be "perpendicular", but the lines that contain them would cross at right angles.
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.
A cube has six pairs of intersecting line segments. These six pairs will total 72 lines in a cube.
No, intersecting lines form four pairs of supplementary angles