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?

Answer 1

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.