Geometric proof (AQA GCSE Further Maths): Flashcards
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Practise the cards
13 cards from this deck
What is geometric proof?
What is geometric proof?
Method of demonstrating that statements about shapes, angles, and lines are always true
Key to successful geometric proof
Key to successful geometric proof
Logical chain of reasoning using established rules and theorems
Base angles in isosceles triangle
Base angles in isosceles triangle
Always equal (opposite the equal sides)
Sum of angles in any triangle
Sum of angles in any triangle
Exterior angle of triangle equals
Exterior angle of triangle equals
Sum of two non-adjacent interior angles
Adjacent angles on straight line sum to
Adjacent angles on straight line sum to
Alternate angles when parallel lines crossed by transversal
Alternate angles when parallel lines crossed by transversal
Equal
Corresponding angles when parallel lines crossed by transversal
Corresponding angles when parallel lines crossed by transversal
Equal
Angle at circumference vs angle at centre (same arc)
Angle at circumference vs angle at centre (same arc)
Circumference angle is half the centre angle
Opposite angles in cyclic quadrilateral sum to
Opposite angles in cyclic quadrilateral sum to
Alternate segment theorem
Alternate segment theorem
Angle between tangent and chord = angle in alternate segment
Equal sides in isosceles triangle create
Equal sides in isosceles triangle create
Equal base angles
Multiple methods for same geometric proof?
Multiple methods for same geometric proof?
Yes, often several valid approaches exist