Chapter 8.1
Angle facts recap
Review straight-line, full-turn, and vertically opposite angle facts.
Chapters
13
Angles, circles, constructions, and loci.
Time invested
9.5 hrs
Approximate guided learning.
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Chapter 8.2
Angles in parallel lines
Apply corresponding, alternate, and co-interior rules.
Chapter 8.3
Interior angles in polygons
Derive formulas for regular and irregular shapes.
Chapter 8.4
Exterior angles in polygons
Use exterior sums to solve real-world design problems.
Chapter 8.5
Properties of quadrilaterals
Compare parallelograms, kites, and trapezia precisely.
Chapter 8.6
Properties of triangles
Analyse scalene, isosceles, and equilateral constraints.
Chapter 8.7
Circle theorems introduction
Meet key theorems like the angle at the centre or chord bisection.
Chapter 8.8
Parts of a circle
Identify chords, arcs, tangents, and sectors with confidence.
Chapter 8.9
Circumference of a circle
Calculate perimeters using pi and link to scaling problems.
Chapter 8.10
Area of a circle
Use pi r² and segment reasoning to solve area problems.
Chapter 8.11
Constructing triangles
Use ruler and compass to draw SAS, ASA, and SSS triangles.
Chapter 8.12
Perpendicular & angle bisectors
Construct exact bisectors and discuss their loci.
Chapter 8.13
Loci and regions
Combine constructions to describe feasible regions for design briefs.
Next steps
Need more algebra visuals? Return to Section 7, or continue into geometry measures to extend perimeter, area, and volume mastery.