A polygon has 44 diagonals

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A polygon has 44 diagonals

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A diagonal is a line segment which connects two non-adjacent vertices of a polygon. Why do we specify non-adjacent? Because if you connect two adjacent vertices, that's just a side of the polygon, not a diagonal! Can we figure out how many diagonals a polygon has? Of course we can. Let's begin with a specific example, and then we'll use that to help us develop a formula. Let's take the nonagon below. How many diagonals does it have? To start figuring it out, let's pick a vertex, and draw all of the diagonals from that vertex to all the other vertices.

A polygon has 44 diagonals

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