posted by Mia .
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?
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.