Question

50 points

Answer 1

Use only your compass and straightedge when drawing a construction. No free-hand drawing!
SquareWe will be doing TWO constructions of a square. The first will be to construct a square given the length of one side, and the other will be to construct a square inscribed in a circle.METHOD 1:Given: the length of one side of the square
Construct: a square
STEPS:
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.
4. Place your compass point at B', and copy the side of the square onto the perpendicular. 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.

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