A gap or overlap at the vertex of polygons can occur when two polygons do not align properly due to discrepancies in their vertex coordinates, leading to misalignment. This can happen if the polygons are defined with different scales, rotations, or translations. Additionally, if the polygons are meant to be joined but have incompatible angles or lengths at their vertices, it can also result in gaps or overlaps. Proper alignment and consistent geometric properties are essential to avoid these issues.
Two triangles can form various shapes depending on their arrangement. If they are aligned at a common vertex, they can create a quadrilateral. If they overlap, they can form complex shapes or polygons. Additionally, two congruent triangles can also combine to create a larger triangle or a parallelogram when positioned appropriately.
vertex* * * * *Yes.
All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.
vertex
It is the singular of the plural vertices relating to angles of polygons
Two triangles can form various shapes depending on their arrangement. If they are aligned at a common vertex, they can create a quadrilateral. If they overlap, they can form complex shapes or polygons. Additionally, two congruent triangles can also combine to create a larger triangle or a parallelogram when positioned appropriately.
You might be referring to what's called a tesselation of space. Tiles on a floor are one example of a tesselation: each tile is a polygon (a square most often) and when they are laid on the floor properly there are no gaps or overlaps. A honeycomb shows another kind of tesselation.
vertex* * * * *Yes.
All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.
vertex
vertex* * * * *Yes.
A vertex is the point where two (or more) lines meet. Polygons have vertices.
It is the singular of the plural vertices relating to angles of polygons
In a tessellation, the angle sum around a vertex depends on the type of polygons used in the tessellation. For regular polygons, the angle sum around a vertex is always 360 degrees. This is because each interior angle of a regular polygon is the same, so when multiple regular polygons meet at a vertex in a tessellation, the angles add up to 360 degrees.
Two angles that share a common side and a vertex and do not overlap.
adjacent
adjacent angles