Figure 1
a pentagon with three triangles inside
Figure 2
a pentagon with five triangles inside
Choose the correct decomposition of the regular polygon into n - 2 triangles.
(1 point)
Figure 2 is the correct decomposition because Figure 2 is decomposed into n - 2 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 n - 2 = 5 - 2 = 3 triangles.
Figure 2 is the correct decomposition because Figure 2 is decomposed into 5 triangles.
Figure 1 is the correct decomposition because Figure 1 is decomposed into triangles that are equal sizes.
Figure 1
a pentagon with three triangles inside
Figure 2
a pentagon with five triangles inside
Choose the correct decomposition of the regular polygon into n - 2 triangles.
(1 point)
Figure 2 is the correct decomposition because
Figure 2 is decomposed into n - 2 triangles.
Figure 1 is the correct decomposition because
Figure 1 is decomposed into n - 2 = 5 - 2 = 3
triangles.
Figure 2 is the correct decomposition because
Figure 2 is decomposed into 5 triangles.
Figure 1 is the correct decomposition because Figure 1 is decomposed into n - 2 = 5 - 2 = 3 triangles.
The correct decomposition of the regular polygon into n - 2 triangles is:
Figure 1 is the correct decomposition because it is decomposed into n - 2 = 5 - 2 = 3 triangles.
The correct decomposition of a regular polygon into n - 2 triangles can be found by using the formula n - 2, where n represents the number of sides of the polygon.
In the given question, we are provided with two figures, Figure 1 and Figure 2, both representing a pentagon (a polygon with 5 sides). We need to determine which figure represents the correct decomposition of the pentagon into n - 2 triangles.
To do this, we can apply the formula n - 2 = 5 - 2 = 3. According to the formula, a regular pentagon can be decomposed into 3 triangles. Thus, we can eliminate the option that states "Figure 2 is the correct decomposition because Figure 2 is decomposed into 5 triangles" since 5 triangles exceed the expected result.
Now we are left with three options:
1. Figure 1 is the correct decomposition because Figure 1 is decomposed into triangles that are equal in size.
2. Figure 1 is the correct decomposition because Figure 1 is decomposed into n - 2 = 5 - 2 = 3 triangles.
3. Figure 2 is the correct decomposition because Figure 2 is decomposed into n - 2 triangles.
From the remaining options, the correct answer is the second option: "Figure 1 is the correct decomposition because Figure 1 is decomposed into n - 2 = 5 - 2 = 3 triangles."
This answer aligns with the formula n - 2, where n represents the number of sides of the polygon, which in this case, is 5. Hence, the pentagon can be decomposed into 3 triangles, as correctly represented in Figure 1.
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