Applying constructions to loci problems
I can apply the rules for constructing angle and line bisectors to loci problems.
Applying constructions to loci problems
I can apply the rules for constructing angle and line bisectors to loci problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The perpendicular bisector of a line segment divides the line segment into two equal parts
- The perpendicular bisector is the same distance from each end point of the line segment
- If you only had the two end points, the perpendicular bisector would still be the same distance from each point
- The bisector of an angle divides the angle into two equal parts.
Keywords
Bisect - To bisect means to cut or divide an object into two equal parts.
Loci - A locus is a set of points that satisfy a given set of conditions. Multiple sets of points are referred to as loci.
Equidistant - Points A and B are equidistant from a third point C if the distance AC is equal to the distance BC.
Common misconception
Pupils may believe that there is only one point which is equidistant from two points.
Highlight that forming any isosceles triangle will mean that that the point is equidistant from both points.
Equipment
Ruler, pair of compasses, pencil
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
