Question

A net that folds into a dodecahedron is made up of pentagons if you do decompose each Pentagon into one triangle and one trapezoid how many triangles and how many trapezoids are there A 12 triangles and 12 trapezoids B six triangles and six trapezoids C 60 triangles and 0 trapezoids D 10 triangles in 10 trapezoids

Answer 1

A dodecahedron has 12 faces, and each face is a regular pentagon.

If we decompose each pentagon into one triangle and one trapezoid, we first note how many pentagons there are:

- Total faces (pentagons) = 12

Now, when we decompose each pentagon into one triangle and one trapezoid, we will have:

- Number of triangles = 12 (one triangle from each pentagon)
- Number of trapezoids = 12 (one trapezoid from each pentagon)

Thus, the answer is **A: 12 triangles and 12 trapezoids**.