Posted by Mia on Monday, March 19, 2012 at 2:45pm.
Jamie has a pentagon that she thinks has two pairs of congruent angles and two pairs of congruent sides. How can she check this without using any tools?

Math  drwls, Monday, March 19, 2012 at 7:36pm
Overlay the figures on a glass window that light shines through, to see if two pairs of sides and angles really match. You will have to move one around on top of the other.
I don't consider an illuminated surface a "tool". Cutting one out to fit on top of the other would be using a tool.
By the way, even with two pairs of congruent sides and angles, the two pentagons may not be congruent.