Understanding Quadrilaterals: Types and Properties for Year 10 Mathematics
This guide provides an overview of quadrilaterals for Year 10 Mathematics students. A quadrilateral is defined as any shape with four straight sides, where the angle sum is always 360°. We explore different types including squares, rectangles, parallelograms, kites, trapeziums, and rhombuses. Each type is characterized by unique properties, such as equal sides, right angles, and parallel sides. Remember that despite their differences, all quadrilaterals share the same angle sum.
Understanding Quadrilaterals: Types and Properties for Year 10 Mathematics
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Presentation Transcript
Quadrilaterals Year 10 Mathematics
What is a quadrilateral? Remember! The angle sum of a quadrilateral is 360⁰ A quadrilateral is any shape that has 4 straight sides.
Squares A square has 4 equal sides and all 4 angles are right angles; they are 90 ⁰. The opposite sides are parallel. Remember! The angle sum of a quadrilateral is 360⁰
Rectangles Rectangles, similar to square also have 4 right angles. Rectangles have 2 sets of equal sides. The opposite sides are equal and parallel. Remember! The angle sum of a quadrilateral is 360⁰
Parallelogram A parallelogram has two pairs of equal sides. The opposite angles are equal. The opposite sides are parallel. Remember! The angle sum of a quadrilateral is 360⁰
Kite A kite has two pairs of equal adjacent sides. Also, the angles marked are equal Remember! The angle sum of a quadrilateral is 360⁰
Trapezium One pair of parallel sides Remember! The angle sum of a quadrilateral is 360⁰
Rhombus A rhombus is a sideways square. All four sides are equal and both sets of opposite sides are parallel, BUT the angles are NOT right angles.
