Use the image to answer the question.
An illustration shows a composite figure of two similar sets where a central pentagon is surrounded by a layer of 5 pentagons, one on each side. Two central pentagons are drawn separately with dashed lines. On each side of the central pentagons, another pentagon is drawn using solid lines. Each central pentagon has 5 surrounding pentagons. One pentagon from each set shares a common side.
A net that folds into a dodecahedron is made up of pentagons. If you decompose each pentagon into one triangle and one trapezoid, how many triangles and how many trapezoids are there?
(1 point)
Responses
6 triangles and 6 trapezoids
6 triangles and 6 trapezoids
12 triangles and 12 trapezoids
12 triangles and 12 trapezoids
60 triangles and 0 trapezoids
60 triangles and 0 trapezoids
10 triangles and 10 trapezoids
10 triangles and 10 trapezoids
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To create a dodecahedron, we need 12 pentagons. If each pentagon is decomposed into one triangle and one trapezoid, we would have a total of 12 triangles and 12 trapezoids.
Therefore, the correct response is:
12 triangles and 12 trapezoids