Instruction: Given two vertices of a square. Construct the two other vertices using only a compass.

Goal: 7L 7E Available tools:

• Move
• Point
• Circle
• Intersect

Pack: Delta

Previous level: 4.10

Next level: 5.1

## 7L 7E solution

Let A and B be the given vertices.

1. Construct the circle with center A and radius AB
2. Construct the circle with center B and radius AB, intersecting circle A at C and D
3. Construct the circle with center C and radius CD, intersecting circle A at E and circle B at F
4. Construct the circle with center E and radius BE
5. Construct the circle with center F and radius AF, intersecting circle E at G and H
6. Construct the circle with center A and radius AG, intersecting circle B at I and J, with I on the same side as G from AB
7. Construct the circle with center B and radius BG, intersecting circle A radius AB at K and L, with K on the same side as I from AB
8. Point at I
9. Point at K

## 3V solution

1. Point at J
2. Point at L
3. Construct the circle with center G and radius GI, intersecting circle A at M and circle B at N
4. Construct the circle with center K and radius KM
5. Construct the circle with center I and radius IN, intersecting circle K at O
6. Construct the circle with center A and radius AO
7. Construct the circle with center B and radius BO, intersecting circle A radius AO at P
8. Point at P