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# How many lines does it take to connect every corner of a ten sided shape?

Updated: 12/20/2022

Wiki User

15y ago

10. or 45. depending on if we're connecting them to adjacent corners or to every other corner

Wiki User

15y ago

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Q: How many lines does it take to connect every corner of a ten sided shape?
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### What does geometric shapes mean?

Geometric shapes mean that the shape is just a basic shape, like for example, a trapazoid would be a geometric shape because of it continuous lines that connect at each corner.

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You connect the points that it has, corner to corner and count them. Moo

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draw an octagon then erase one corner and connect it

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yes, other wise it would just be a line... If it connects then it is a shape, can you imagine a triangle with 2 lines and then there is an empty space? That is not a shape, it is 2 lines. Understand?

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### How many lines from corner to corner would a 20 sided shape have?

Simplify the problem a bit. You have 20 dots and you want to connect pairs of dots, so you're looking for how many unique sets of 2 objects you can choose from 20 distinct objects. Thus you have 20[[Choose]]2 = 20!/(18!2!) = 10*19 = 190 such sets, which correspond to 190 distinct lines. However, there are 20 lines connecting the edges of the 20-sided shape, so we actually have 190 - 20 = 170 lines not corresponding to edges.

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There are infinitely many lines of symmetry. Every line can be a line of symmetry for a suitable shape.