What geometrical shape is created by the vertices given in the triangle problem?

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The vertices given in the triangle problem form a triangle, which is a geometrical shape characterized by having exactly three sides and three angles. The definition of a triangle is foundational in geometry, and it specifically refers to a polygon with these three edges and vertices.

In this context, since the problem is based on vertices that will connect to create a shape, those connections will inherently form a triangle if only three distinct points are involved. Other shapes such as rectangles, parallelograms, or squares require more points and specific arrangements of points to define their unique properties, such as parallel sides and angles, which are not consistent with the basic definition of a triangle. Thus, recognizing that three connected points lead directly to the creation of a triangle is key in solving this problem correctly.

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