question archive Task I: Method I: Constructing a pentagon by taking a unit line segment as a base for the construction 1

Task I: Method I: Constructing a pentagon by taking a unit line segment as a base for the construction 1

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Task I: Method I: Constructing a pentagon by taking a unit line segment as a base for the construction 1. Construct Square ABGF: 1. Draw line segment AB somewhere in the middle of the page. Line-segment AB will be the unit of measurement. The estimated length is about 6 cm 2. Choose point C below line segment AB, closer to A 3. With center C and radius CA, draw a half-circle that intersects AB at D. 4. Construct DE passing through C, intersecting the extended half circle at E. 5. With your compass measure, AB then construct AF passing through E such that AF = AB. 6. Extend AF to I such that AI = 2 AF 7. With the same opening of the compass, from center B and center F, construct two arcs of circle intersecting at G below B 8. Join B to G, and F to G, forming square ABGF. 9. Extend BG to point H such that BH = 2 BG

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