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Six identical triangles can be formed by drawing two straight lines through an octagon's center point.

Question

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Solution

This statement seems to be more of a fact than a question. However, if you're asking how this can be done, here are the steps:

  1. Draw an octagon. An octagon is a polygon that has eight sides. The sum of the internal angles of any octagon is 1080°.

  2. Identify the center point of the octagon. This can be done by drawing two intersecting diagonals. The point where they intersect is the center.

  3. Draw two straight lines through the center point. Each line should pass through two opposite vertices of the octagon.

  4. Now, you should have six triangles. Each triangle is formed by the center point, one vertex of the octagon, and the next adjacent vertex.

Please note that these triangles are not identical in the usual sense (they do not have the same size and shape), but they are congruent (they can be mapped onto each other using rotations and reflections).

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