Summary (Grade 12 NSC Matric Mathematics): Flashcards

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Ratio definition

Relationship between two quantities with same units

Three ways to write ratios

x:y, x/y, x to y

Proportions definition

When two or more ratios are equal

Proportion Theorem

Line || to side divides other 2 sides in same proportion

Mid-point Theorem

Line joining mid-pts is || to 3rd side & half its length

Converse of Mid-point Theorem

Line from mid-pt || to side bisects 3rd side

Similar polygons conditions

Equal corresponding angles AND sides in same proportion

Triangle similarity condition

If equiangular or sides in proportion

Pythagoras' Theorem

c2=a2+b2c^2 = a^2 + b^2 (hypotenuse² = sum of other squares)

Converse of Pythagoras' Theorem

If c2=a2+b2c^2 = a^2 + b^2, angle between a & b is right angle

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