# 179 geometry/dissections/square.five.p

## Description

This article is from the Puzzles FAQ,
by Chris Cole chris@questrel.questrel.com and Matthew Daly
mwdaly@pobox.com with numerous contributions by others.

# 179 geometry/dissections/square.five.p

Can you dissect a square into 5 parts of equal area with just a straight edge?

geometry/dissections/square.five.s

1. Prove you can reflect points which lie on the sides of the square

about the diagonals.

2. Construct two different rectangles whose vertices lie on the square

and whose sides are parallel to the diagonals.

3. Construct points A, A', B, B' on one (extended) side of the square

such that A/A' and B/B' are mirror image pairs with respect to another

side of the square.

4. Construct the mirror image of the center of the square in one

of the sides.

5. Divide the original square into 4 equal squares whose sides are

parallel to the sides of the original square.

6. Divide one side of the square into 8 equal segments.

7. Construct a trapezoid in which one base is a square side and one

base is 5/8 of the opposite square side.

8. Divide one side of the square into 5 equal segments.

9. Divide the square into 5 equal rectangles.

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