# 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

 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

 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