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Angles - Coggle Diagram
Angles
Parallel lines
Corresponding angles - look for an "F" shape
Co-interior angles add up to 180 (Or supplementary) - look for a square-like "C" shape
alternate angles- look for a "Z" shape
Circle geometry
Tangents
Radius is perpendicular to tangents
Alternate segments
equal tangents
No tangents
Angles in the same segment are equal
Angles in a semi-circle are 90 degrees
Angles at the centre are twice the angles as the circumfrence
Opposite angles in a cyclic quaderlateral add up to 180 degrees (or are supplementary)
Shapes
Triangles
The angle sum is 180 degrees
Isosceles
Base angles are equal
Still ads up to 180
Equilateral
All sides are equal in legnth
All angles are eual
Quadrilaterals
Kite
Also evident in circle theorems
Parallelogram
Rhombus
Trapezium
Isosceles trapezium (remember two dashes on the lines)
Simple geometry
Lines
Angles in a straight line add up to 180
Vertically opposite angles are equal
Angles around a point add up to 360