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 Question from Sandra, a parent: One of my son's math questions is as follows: Suppose I have a shape with 10 sides. I choose a vertex then draw lines to the other vertices that don't share sides with the first vertex. How many vertices will that be and why?

Sandra,

I'm going to try this with 6 sides rather than 10. I think the teachers is looking for a polygon, that is a closed figure made up of line segments. I'm going to start with a regular 6-sided polygon, one where all the sides are the same length and all the angles have the same measure. I drew one, chose a vertex and drew lines from my chosen vertex to other vertices that don't share sides with my chosen vertex.

I drew 3 lines.

Choose a different vertex. Do you still get 3 lines? What is the polygon is not regular?

Choose a vertex and draw the lines. Do you still get 3 lines?

Now try a shape with 10 sides.

Penny

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