Polygons (Grade 12 NSC Matric Mathematics): Flashcards

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Polygons
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Polygon definition

Flat, closed figure with 3+ straight line segments connected

Area formula for a triangle

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Triangle height requirement

Must be perpendicular to base (90° angle)

Area formula for a parallelogram

base×height\text{base} \times \text{height}

Area formula for a rectangle

base×height\text{base} \times \text{height} or length × width

Area formula for a rhombus

12×diagonal1×diagonal2\frac{1}{2} \times \text{diagonal}_1 \times \text{diagonal}_2

Area formula for a square

side2\text{side}^2

Area formula for a trapezium

12×(parallel sides sum)×h\frac{1}{2} \times \text{(parallel sides sum)} \times \text{h}

Area formula for a kite

12×diagonal1×diagonal2\frac{1}{2} \times \text{diagonal}_1 \times \text{diagonal}_2

Key property of rhombus/kite diagonals

Always intersect perpendicularly (at right angles)

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