GCSE›AQA GCSE Maths›Mind mapsProperties of ShapesAQA GCSE Maths: Mind mapStudy pack PDFAlso for this subtopic:Revision notesFlashcardsSubtopic testCover factsAngle factsAngles on a straight line sum to 180°Angles at a point sum to 360°Vertically opposite angles are equalTriangle angles sum to 180°Parallel linesAlternate angles are equalCorresponding angles are equalCo-interior angles sum to 180°Alternate: opposite sides, between the parallelsPolygonsInterior sum =(n−2)×180°= (n-2) \times 180°=(n−2)×180°Regular interior angle =(n−2)×180°n= \frac{(n-2) \times 180°}{n}=n(n−2)×180°Exterior angles sum to 360°Regular exterior angle =360°n= \frac{360°}{n}=n360°Interior + exterior =180°= 180°=180°Shape propertiesangles and circles180°360°90°Triangles and quadrilateralsEquilateral: three equal sides, angles 60°Isosceles: two equal sides and base anglesRhombus: diagonals bisect at 90°Parallelogram: opposite sides equal and parallelKite: two pairs of adjacent equal sidesCircle theoremsCentre angle is twice circumference angleSame segment angles are equalCyclic quadrilateral opposite angles sum to 180°Tangent meets radius at 90°Alternate segment theorem (higher tier)Exam tipsState the property you useAlternate vs corresponding: opposite vs same sideExterior angles sum to 360° whatever the sidesTangent is perpendicular to the radius