How do you find corresponding vertices?
In order to determine if two or more triangles have the same shape, you need to determine if the corresponding vertices and angles.You will need to know or be able to calculate the measurements of the angles to determine a one-to-one correspondence.
Are polygons whose vertices can be paired so that corresponding angles are congruent and corresponding sides are proportional?
a prism is a polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are parellelograms formed by connecting the corresponding vertices of the bases. the segments connecting the vertices are lateral edges. the altitude, or height, of a prism is the perpendicular distance between its bases.
You can find a polyhedron with any number greater than 4 of vertices or faces. However, a torus, ellipsoid, sphere, paraboloid, hyperboloid are all standard shapes with no vertices. Cylinders, too, have no vertices. And there are many completely random shapes - a lump of putty, for example, which will have no vertex.
The geometrical figures, including isosceles triangles, are congruent if they are identical in shape and size. If they are of the same shape but not of the same size, then they are similar triangles. For two similar triangles, there is a correspondence between their vertices such that corresponding angles are equal and the ratios of the corresponding sides are equal. Thus, not all isosceles triangles are congruent.