Proofs and Conjectures (Grade 10 NSC Matric Mathematics): Flashcards

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Proofs and Conjectures
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Conjecture

Educated guess about a geometric relationship

Parallelogram

Quadrilateral with both pairs of opposite sides parallel

Parallelogram: opposite angles

Opposite angles are equal

Parallelogram: diagonals

Diagonals bisect each other

Co-interior angles (parallel lines)

Sum to 180∘180^\circ

Rhombus

Parallelogram with all sides equal

Rhombus: diagonals angle

Diagonals bisect each other at 90∘90^\circ

Rectangle: diagonals

Diagonals are equal in length

Square

Both a rectangle and a rhombus

Kite

Has two pairs of adjacent sides equal

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