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