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.

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