Question

Triangle Decomposition of Polygons Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.

An illustration shows two pentagons. The pentagon on the left is labeled figure 1, and the pentagon on the right is labeled figure 2. Starting at the bottom left vertex of both figures, the vertices are labeled A, B, C, D, and E. In figure 1, lines connect the vertices A and C and C and E. In figure 2, lines connect the vertices A and D, B and E, and B and D.

Choose the correct decomposition of the regular polygon into n−2 triangles.

(1 point)
Responses

Figure 2 is the correct decomposition because Figure 2 is decomposed into n−2 triangles.
Figure 2 is the correct decomposition because Figure 2 is decomposed into n minus 2 triangles.

Figure 1 is the correct decomposition because Figure 1 is decomposed into n−2=5−2=3 triangles.
Figure 1 is the correct decomposition because Figure 1 is decomposed into n minus 2 equals 5 minus 2 equals 3 triangles.

Figure 1 is the correct decomposition because Figure 1 is decomposed into triangles that are equal sizes.
Figure 1 is the correct decomposition because Figure 1 is decomposed into triangles that are equal sizes.

Figure 2 is the correct decomposition because Figure 2 is decomposed into 5 triangles.
Figure 2 is the correct decomposition because Figure 2 is decomposed into 5 triangles.

Answer 1

Figure 1 is the correct decomposition because Figure 1 is decomposed into n−2=5−2=3 triangles.