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$cool geometry and math art (fractals, tessellations, polyhedra and more)$

Triangles

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This problem comes in three levels of difficulty. Start with the first and work your way up!

Level 1:

How many noncongruent triangles can be drawn on this 3 by 3 grid by connecting the dots?

3 by 3 dot grid

Example:

NOTE: If you found the previous triangle, and then found this triangle, it would be a rerun and it wouldn't count! (The two triangles are congruent!)

Click here to get a page of 3 by 3 dots to print out!

Level 2:

How many noncongruent triangles can be drawn on this 4 by 4 grid by connecting the dots?

4 by 4 dot grid

Click here to get a page of 4 by 4 dots to print out!

Level 3:

How many noncongruent triangles can be drawn on this 5 by 5 grid by connecting the dots?

5 by 5 dot grid

Click here to get a page of 5 by 5 dots to print out!

Are you brave enough (or a big enough math geek) to try a 6 by 6? I'm not! If you are, let me know what you get!