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Bisectors & Loci – Demonstration
This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.
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Perpendicular Bisector
Cut in half. 90°
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Perpendicular from a Point
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Perpendicular from a Point to a Line
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Angle Bisector
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60° Angle
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What is the locus of a point that is always 4 cm away from B?
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What is the locus of a point that is always the same distance from A & B?
This line is a perpendicular bisector of the line AB.
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× A B What is the locus of a point that is always 3 cm from line AB?
What about here? × A B
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Answers 1) Construct the locus of a point
that is equidistant between A and B. 2) Construct a perpendicular line from the point C. B A C 3) Mark the point X that lies within the triangle, is equidistant from the lines DE and DF, and is 5 cm from F. 4) Construct a right-angled triangle using GH. Construct a 60° angle at H. Find the ‘triangle centre’: the point equidistant from all sides. H E G Answers D F
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Answers 1) Construct the locus of a point
that is equidistant between A and B. 2) Construct a perpendicular line from the point C. B A C 3) Mark the point X that lies within the triangle, is equidistant from the lines DE and DF, and is 5 cm from F. 4) Construct a right-angled triangle using GH. Construct a 60° angle at H. Find the ‘triangle centre’: the point equidistant from all sides. H E G X Answers D F
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tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!? Any feedback would be appreciated . Please feel free to
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