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
10 triangles and 10 trapezoids
10 triangles and 10 trapezoids
12 triangles and 12 trapezoids
12 triangles and 12 trapezoids
60 triangles and 0 trapezoids
12 triangles and 12 trapezoids
correct tysm
You're welcome! Feel free to ask any more questions you may have.
To answer the question, we need to analyze the given information and count the number of triangles and trapezoids when each pentagon is decomposed.
From the illustration, we can see that the net consists of 12 pentagons. Each pentagon can be divided into one triangle and one trapezoid. Therefore, if we decompose each pentagon, we will have 12 triangles and 12 trapezoids in total.
Therefore, the correct answer is:
12 triangles and 12 trapezoids.