# Middle and secondary

### Geometry

##### Chapter 1: Basic Geometrical Ideas

LO 1: | Knowing All About Points |

LO 2: | Differentiating Curves and Polygons |

LO 3: | Making Line, Line Segments and Circles |

LO 4: | Making and Using Angles |

LO 5: | Understanding the Different Types of Angles |

LO 6: | Making and Using Pairs of Angles |

##### Chapter 2: Lines and Angles

LO 1: | Identifying Complementary Angles and their Properties |

LO 2: | Identifying Supplementary Angles and their Properties |

LO 3: | Identifying Angles Made by Transversal and their Properties |

LO 4: | Drawing lines – parallel, perpendicular and intersecting |

LO 5: | Analysing angles to know its variants types |

LO 6: | Defining and writing adjacent angles |

LO 7: | Defining and writing vertically opposite angles |

LO 8: | Finding angles made by a transversal with two lines |

##### Chapter 3: Understanding Quadrilaterals

LO 1: | Analysing Quadrilaterals |

LO 2: | Applying Angle Sum Property of Quadrilaterals |

LO 3: | Applying Exterior Angles of Quadrilaterals |

LO 4: | Confidently Describe Properties of Parallelograms |

LO 5: | Confidently Describe Properties of Rectangles |

LO 6: | Confidently Describe Properties of Squares |

LO 7: | Confidently Describe Properties of Rhombuses |

LO 8: | Confidently Describe Properties of Kites and Trapeziums |

##### Chapter 4: Quadrilaterals

LO 1: | Drawing sum of angles of a quadrilateral |

LO 2: | Characterising properties of rectangle, square and rhombus |

LO 3: | Characterising properties of parallelogram |

LO 4: | Transforming quadrilateral to parallelogram |

LO 5: | Defining and using intercept theorem and midpoint theorem |

##### Chapter 5: The Triangle and its Properties

LO 1: | Utilise the Knowledge of Triangle and its Types |

LO 2: | Applying Angle Sum Property of a Triangle |

LO 3: | Applying Exterior Angle Property of a Triangle |

LO 4: | Applying Triangle Inequality Property |

LO 5: | Applying Pythagoras Theorem |

LO 6: | Clearly stating concept of similarity |

LO 7: | Defining basic proportionality theorem or Thales theorem |

LO 8: | Knowing internal and external bisectors of angle of a triangle |

LO 9: | Characterising similarity of triangles |

LO 10: | Exploring areas of two similar triangles |

LO 11: | Defining and applying Pythagoras theorem |

##### Chapter 6: Circles

LO 1: | Defining characteristics of circles |

LO 2: | Defining terms related to arcs of a circle |

LO 3: | Defining characteristics of chord and segment of a circle |

LO 4: | Defining congruence of circles |

LO 5: | Defining equal chords |

LO 6: | Defining characteristics of arcs and angles subtended by chord |

LO 7: | Defining cyclic quadrilateral and its properties |

LO 8: | Defining properties of tangent to a circle |

LO 9: | Characterising tangent to a circle |

LO 10: | Characterising tangents subtending equal angles at the centre |

LO 11: | Applying properties of circles in problems |

##### Chapter 7: Congruence of Triangles

LO 1: | Exploring the Concept of Congruence |

LO 2: | Ascertaining SSS Congruency |

LO 3: | Ascertaining SAS Congruency |

LO 4: | Ascertaining ASA Congruency |

LO 5: | Ascertaining RHS Congruency |

##### Chapter 8: Triangles

LO 1: | Analysing triangle to know its variants |

LO 2: | Applying angle sum property of a triangle |

LO 3: | Applying exterior angle of a triangle |

LO 4: | Characterising congruence of triangles – Side–Angle–Side (SAS) congruence criterion |

LO 5: | Characterising congruence of triangles – Angle–Side–Angle (ASA) congruence criterion |

LO 6: | Characterising congruence of triangles – Angle–Angle–Side (AAS) congruence criterion |

LO 7: | Characterising congruence of triangles – Side–Side–Side (SSS) congruence criterion |

LO 8: | Characterising congruence of triangles – Right–Angle–Hypotenuse (RHS) congruence criterion |

LO 9: | Appreciating and using inequality relations in a triangle |

##### Chapter 9: Visualising Solid Shapes

LO 1: | Diagnosing Solid Shapes/Objects |

LO 2: | Drawing Nets for Building 3D Shapes |

LO 3: | Methods of Visualising Solid Shapes |

##### Chapter 10: Symmetry

LO 1: | Seeing Symmetry in Our Daily Lives |

LO 2: | Identifying Lines of Symmetry |

LO 3: | Exploring Symmetry of Some Figures |

LO 4: | Explaining Effects of Rotation |

LO 5: | Identifying Lines of Symmetry |

LO 6: | Making Use of Reflection Symmetry |

##### Chapter 11: Practical Geometry

LO 1: | Constructing Key Geometrical Objects |

LO 2: | Constructing Geometric Objects |

LO 2: | Constructing Geometrical Objects |

##### Chapter 12: Construction

LO 1: | Division of line segments |

LO 2: | Construction of triangles |

LO 2: | Construction of tangents to a circle |

##### Chapter 13: Introduction to Euclids Geometry

LO 1: | Defining the basics – point, line and plane |

LO 2: | Defining and using incidence axioms |

LO 3: | Defining and applying Euclid’s five postulates |

LO 4: | Making rays and lines |

##### Chapter 14: Introduction to Graphs

LO 1: | Conceiving Cartesian Plane |

LO 2: | Drawing Graph |

LO 3: | Visualising and using Cartesian system |

LO 4: | Plotting a point in a plane |

##### Chapter 15: Coordinate Geometry

LO 1: | Finding distance between two points |

LO 2: | Defining and using section formula |

LO 3: | Applying section formula |

LO 4: | Finding area of triangle using coordinates |

LO 5: | Visualising collinearity of three points |