Question

50 points

What are the steps for using a compass and straightedge to construct a square?
Put them in order!

Answer 1

1. Using your straightedge, draw a reference line, if one is not provided.

2. Copy the side of the square onto the reference line, starting at a point labeled A'.

3. Construct a perpendicular at point B' to the line through ab2.

4. Place your compass point at B', and copy the side of the square onto the perpendicular b'g. Label the end of the segment copy as point C.

5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.

6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.

7. Connect points A' to D, D to C, and C to B' to form a square.

Explanation:

Answer 2

1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'.
3. Construct a perpendicular at point B' to the line through ab2.
4. Place your compass point at B', and copy the side of the square onto the perpendicular b'g. Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.