Locus of a Point

Description

By the end of this unit, students will be able to:

find and construct the locus of a point equidistant to two given points;
find and construct the midpoint and perpendicular bisector of a line segment;
find and construct the perpendicular from a point to a line;
find and construct the bisector of an angle.

National Curriculum Objectives

Key Stage 3: Geometry and Measures

derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line

Target Ages

What's Included

Three-part Lesson
Self-marking Activities
Fluency, Reasoning and Problem-solving Questions.
Engaging Drag and Drop Activities
Interactive Self-marking Worksheet
Printable Worksheets to Consolidate Learning

Connected Resources

trigonometric exact values of sine θ cosine θ and tan θ

Trigonometric-Exact Values
Sine θ, Cosine θ and Tan θ

Trigonometric Ratios
Sine-Cosine-Tangent

Trigonometry-Finding Lengths and Angles

Sine and Cosine Rules

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Locus of a Point

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