1. 8. Constructions and Loci

2. Construction and loci
Assumed knowledge
draw parallel lines
draw circles and arcs to a given radius
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3. Constructions - Triangles
learning objectives:
construct triangles including an equilateral triangle (12.1, 12.3)
understand, from the experience of constructing them, that triangles satisfying SSS, SAS, ASA and RHS are unique, but SSA triangles are not (12.1)
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4. Constructions – Perpendicular lines
learning objectives:
construct the perpendicular bisector of a given line (12.2)
construct the perpendicular from a point to a line (12.2)
construct the perpendicular from a point on a line (12.2)
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5. Constructions – Angles
learning objectives:
construct the bisector of a given angle (12.3)
construct angles of 60°, 90°, 30°, 45° (12.3)
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6. Constructions – Other Constructions
learning objectives:
construct a regular hexagon inside a circle (12.3)
construct diagrams of everyday 2-D situations, involving rectangles, triangles, perpendicular and parallel lines
draw and construct diagrams from given information
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7. Constructions - Regions
learning objectives:
construct a region bounded by a circle and in intersecting line: (12.5)
a given distance from a point and a given distance from a line (12.4)
equal distances from two points of two line segments (12.4)
regions which may be defined by ‘nearer to’ or ‘greater than’ (12.5)
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8. Constructions - Loci learning objectives:
find and describe regions satisfying a combination of loci (12.5)
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9. Your turn