Equilateral Triangles in Poincare Disk

Now Lets Think About Equilateral Triangles
Remember: Euclidean Equilateral Triangles Have the Following Properties[list][*][color=#38761d]The angles in an equilateral triangle are all 60 degrees[/color][/*][*][color=#38761d]The sides in an equilateral triangle are all the same length[/color][/*][/list]
Below are two Triangles BDC and EFG
Just from looking at them, which triangle(s) do you think have [i][color=#ff7700]equal interior angles[/color][/i]? and Why?
Below are two Triangles BDC and EFG
Just from looking at them, which triangle(s) do you think have [i][color=#ff7700]equal side lengths[/color][/i]? and Why?
Now Lets Measure!
Start by measuring the interior angles of our two triangles[br][br][color=#38761d]USE THE ANGLE MEASURE TOOL[br] If an angle is not showing up, try clicking on the points in a different order (ex: BDC or CDB)[/color]
Measure the Interior Angles
What is the sum of the interior angles in [color=#ff7700]Triangle BDC[/color]?
Measure the Interior Angles
What is the sum of the interior angles in [color=#ff7700]Triangle EFG[/color]?
What do you notice about Triangle BDC and EFG?
Did anything surprise you after measuring the interior angles?
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Information: Equilateral Triangles in Poincare Disk