# Perpendicular Bisectors and Equidistant Paths

Students learn how to construct a perpendicular bisector and equidistant path using a pair of compasses and ruler.  As learning progress students are challenged to bisect a line at a given point and to find the shortest route between a point and a line.The start of the lesson is used to recap constructing triangles involving side, side, side using a pair of compasses.  The plenary challenges students to construct a scale drawing and use a perpendicular bisector to find the shortest route possible.
##### Differentiated Learning Objectives
• All students should be able to construct the perpendicular bisector of a line segment.
• Most students should be able to construct an equidistant path between two points.
• Some students should be able to recognise and use the perpendicular distance from a point to a line as the shortest distance to the line.
SKU: 719

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