Triangle Bonanza ABCD below is a rectangle that is 8 units by 4 units. is drawn to create △ABC.

Your task is to find as many similar triangles as possible that use part or all of as one side. Add point labels as necessary, and organize your list in any way you deem appropriate.

Note: Only count similar triangles that have all three of their vertices on gridlines.

Is it possible to find a right triangle that uses part of as its hypotenuse that is NOT similar to △ABC? Explain why or why not.

How would this problem change if the rectangle changed to 9 units by 3 units? How many similar triangles would you be able to find?