What are vatices?

http://www.google.com/#q=vatices

I think you mean "VERTICES"

or
"corners" in geometry where two straight lines meet.

I'm sorry, but it seems that there might be a typo in your question as "vatices" does not appear to be a recognized term. However, if you meant "vertices," then I can certainly explain what they are.

Vertices, in the context of geometry, are the corners or points where two or more sides or edges of a shape or a solid object meet. They are like the "building blocks" of a geometric figure, including polygons, polyhedra, and other shapes. For example, in a triangle, there are three vertices where the sides of the triangle intersect.

To find the vertices of a shape or object, you need to understand its characteristics and properties. For polygons, such as triangles, rectangles, or pentagons, the number of vertices corresponds to the number of sides. So, a triangle has three vertices, a square has four vertices, and so on.

Similarly, for three-dimensional objects like polyhedra, the number of vertices indicates how many points where the edges intersect. For instance, a cube has eight vertices since each corner is a point where three edges meet.

In summary, vertices are the points where edges or sides come together in a geometric figure. By understanding the properties and characteristics of the figure, you can determine the number and location of its vertices.