2 d shapes
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The document defines and provides key features of common 2D shapes including triangles, quadrilaterals, regular polygons, and circles. It describes properties such as lines of symmetry, rotational symmetry, and relationships between shapes. Special types of shapes are defined, such as equilateral triangles, isosceles triangles, right-angled triangles, rectangles, squares, parallelograms, trapezoids, rhombuses, kites, and regular polygons.
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2 d shapes
- 1. www.numeracysoftware.com Properties of 2-D Shapes Equilateral Triangle Trapezium Isosceles Triangle Rhombus Right-Angled Triangle Kite Scalene Triangle Regular Pentagon Quadrilateral Regular Hexagon Rectangle Regular Octagon Square Regular Decagon Oblong Circle Parallelogram
- 2. www.numeracysoftware.com Equilateral Triangle Key Features All three sides are the same length and all three angles are equal. Lines of Symmetry? Three. Rotational Symmetry? Order 3.
- 3. www.numeracysoftware.com Isosceles Triangle Key Features A triangle with two equal sides and two equal angles. Lines of Symmetry? One. Rotational Symmetry? None.
- 4. www.numeracysoftware.com Scalene Triangle Key Features A triangle with three different sides and three different angles. Lines of Symmetry? None. Rotational Symmetry? None.
- 5. www.numeracysoftware.com Right-Angled Triangle Key Features A triangle with one right-angle. Can a Triangle be Right-Angled and Isosceles? Yes. Lines of Symmetry? Only if it’s an isosceles triangle - one line. Rotational Symmetry? None.
- 6. www.numeracysoftware.com Quadrilateral Key Features A shape with four sides. Lines of Symmetry? It depends on what sort of quadrilateral it is. Rotational Symmetry? It depends on what sort of quadrilateral it is. Names of Special Quadrilaterals Rectangle, Square, Parallelogram, Trapezium, Rhombus, Kite.
- 7. www.numeracysoftware.com Rectangle Key Features A quadrilateral with four right-angles. Opposite sides are the same length. Lines of Symmetry? Two, unless the rectangle is a square. Rotational Symmetry? Order 2, unless the rectangle is a square. Is a Rectangle a Parallelogram? Yes, because both pairs of opposite sides are parallel.
- 8. www.numeracysoftware.com Square Key Features A quadrilateral with four equal sides and four right-angles. Lines of Symmetry? Four. Rotational Symmetry? Order 4. Is a Square a Rectangle? Yes, because it’s a quadrilateral with four right-angles. Is a Square a Parallelogram? Yes, because both pairs of opposite sides are parallel. Is a Square a Rhombus? Yes, because it’s got four sides all the same length.
- 9. www.numeracysoftware.com Parallelogram Key Features A quadrilateral with opposite sides that are parallel and the same length. Lines of Symmetry? Only if it’s a rectangle, a square or a rhombus. Rotational Symmetry? Order 2.
- 10. www.numeracysoftware.com Oblong Key Features A rectangle which is not a square. Lines of Symmetry? Two. Rotational Symmetry? Order 2. Is an Oblong a Parallelogram? Yes, because both pairs of opposite sides are parallel.
- 11. www.numeracysoftware.com Trapezium Key Features A quadrilateral with just one pair of parallel sides. Lines of Symmetry? Only if it’s an isosceles trapezium. Rotational Symmetry? None.
- 12. www.numeracysoftware.com Rhombus Key Features A quadrilateral with four equal sides. Lines of Symmetry? Two. Rotational Symmetry? Order 2. Is a Rhombus a Parallelogram? Yes, because both pairs of opposite sides are parallel.
- 13. www.numeracysoftware.com Kite Key Features A quadrilateral with two pairs of adjacent sides that are equal. Lines of Symmetry? One. Rotational Symmetry? None.
- 14. www.numeracysoftware.com Regular Pentagon Key Features A shape with five equal sides and five equal angles. Lines of Symmetry? Five. Rotational Symmetry? Order 5.
- 15. www.numeracysoftware.com Regular Hexagon Key Features A shape with six equal sides and six equal angles. Lines of Symmetry? Six. Rotational Symmetry? Order 6.
- 16. www.numeracysoftware.com Regular Octagon Key Features A shape with eight equal sides and eight equal angles. Lines of Symmetry? Eight. Rotational Symmetry? Order 8.
- 17. www.numeracysoftware.com Regular Decagon Key Features A shape with ten equal sides and ten equal angles. Lines of Symmetry? Ten. Rotational Symmetry? Order 10.
- 18. www.numeracysoftware.com Circle Key Features Every point on the circumference is the same distance from the centre. Lines of Symmetry? Infinite. Rotational Symmetry? Order infinity.