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How many triangles are in a star shape (two intersecting triangles)?
6
8
10
12
8
A standard six-pointed star formed by two large intersecting triangles contains 6 small outer triangles and 2 large intersecting triangles, totaling 8.
A standard six-pointed star formed by two large intersecting triangles contains 6 small outer triangles and 2 large intersecting triangles, totaling 8.
Count the small peripheral triangles
There are 6 small triangles located at the points of the star (the vertices of the two main intersecting triangles).
Count the large internal triangles
There are 2 large triangles formed by the primary overlapping shapes (one pointing upward and one pointing downward).
Calculate the total
Adding the 6 small triangles to the 2 large triangles yields a total of 6 + 2 = 8 triangles.
A: 6 ignores the two larger overlapping triangles. C: 10 counts non-existent overlaps. D: 12 incorrectly multiplies or double-counts segments.
B is correct because the star shape consists of 6 small outer triangles at the tips and 2 large, overlapping main triangles, totaling exactly 8.
In any star-polygon problem, always count the small 'point' triangles first, then identify the largest overlapping structural triangles.
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