Notes
Geometry Topics

Topics in Geometry

Objects in geometry

Points

• vertex
• vector

Lines

• line
• gradient
• perpendicular
• perpendicular bisector
• perpendicular distance
• midpoint

Shapes

• shape
• perimeter
• perpendicular height
• equation of a shape

Triangles

• triangle
• equilateral triangle
• isosceles triangle
• right-angled triangle
• scalene triangle
• Heron's formula

Quadrilaterals

• quadrilateral
• square
• rectangle
• rhombus
• parallelogram
• kite
• dart
• trapezium

Regular Polygons

• regular polygon
• pentagon
• hexagon

Polygons

• polygon
• angles of a polygon
• diagonal

Circles

• circle
• chord
• diameter
• tangent
• sector
• concentric
• circumcircle
• in-circle
• lune

Angles

Basic Angles

• angle
• right-angle
• angles at a point
• angles on a straight line
• vertically opposite
• supplementary angles
• complementary angles

Angles in Parallel Lines

• angles and parallel lines

Circle Theorems

• angle in a semi-circle
• angle between a radius and tangent
• angle at the circumference is half that at the centre
• angles in the same segment
• cyclic quadrilateral
• alternate segment theorem
• intersecting chords theorem

Trigonometry

• trigonometry
• cosine rule
• sine rule
• sine formula for the area of a triangle
• compound angle formulae

Lengths

• Pythagoras
• parallelogram identity
• parallelogram law

Areas

• area
• dissection

Symmetries

• symmetry
• line of symmetry
• transformation
• congruent
• similarity
• bisection
• tessellation