### Introducing loci

In this lesson, we will be exploring drawing loci that are equidistant between two points.

Skip navigation# Unit Overview: Constructions, congruence, and loci

## Lessons:

### Introducing loci

### Perpendicular bisectors

### Angle bisectors

### Triangle centres

### Plan problems

### Congruence

### Congruence and triangles (Part 1)

### Congruence and triangles (Part 2)

8 lessons

In this lesson, we will be exploring drawing loci that are equidistant between two points.

In this lesson, we will be looking at how to draw perpendicular bisectors on a coordinate grid.

In this lesson, we will learn how to draw angle bisectors using a compass and ruler.

In this lesson, we will be looking at different ways of finding triangle centres using construction techniques such as angle bisectors and perpendicular line construction.

In this lesson, we will be practising how to use perpendicular and angle bisectors to find different regions in a diagram.

In this lesson, we will learn what is meant by congruent shapes and we investigate how to identify shapes that are and are not congruent.

In this lesson, we will start learning the conditions that make triangles congruent.

In this lesson, we will develop our skills in being able to identify whether a pair of triangles are, or are not congruent.

Units in Maths

- Numbers and numerals
- Axioms and arrays
- Factors and multiples
- Order of operations
- Positive and negative numbers
- Expressions, equations and inequalities
- Angles
- Classifying 2-D shapes
- Constructing triangles and quadrilaterals
- Coordinates
- Area of 2-D shapes
- Transforming 2-D figures
- Prime factor decomposition
- Conceptualising and comparing fractions
- Manipulating and calculating with fractions
- Ratio
- Percentages
- Different number systems
- Sequences
- Forming and solving equations
- Forming and solving inequalities
- Linear graphs
- Accuracy and estimation
- Algebra and problem solving
- Ratio (8.6a)
- Ratio, real life graphs, and rates of change
- Direct and indirect proportion
- Univariate data
- Bivariate data
- Famous maths problems
- Angles and parallel lines
- Angles in polygons
- Bearings
- Volume and surface area of prisms
- Area review
- Circles
- FDP review (9.1a)
- Probability
- Sets and Venn Diagrams
- Solving linear simultaneous equations algebraically
- Solving linear simultaneous equations graphically
- Angle review (9.5a)
- Constructions, congruence, and loci
- Pythagoras's theorem
- Famous maths problems
- Ratio review (9.7a)
- Similarity and enlargement
- Surds and trigonometry
- Quadratic expressions (9.9)
- Quadratic equations (9.10)
- Indices and standard form
- Growth and decay
- Finance

- Ratio review (9.7a)
- Constructing triangles and quadrilaterals
- Angles
- Shape and patterns
- Angles and shape
- Constructions, congruence, and loci
- Faces, shapes and patterns; lines and turns
- 3D Shape
- Coordinates
- Angles
- Classifying 2-D shapes
- Shape and pattern
- Transformations
- Angles in polygons
- Circles
- Pythagoras's theorem
- 2-D Shape and Symmetry
- Transforming 2-D figures
- Bearings
- Area of 2-D shapes
- Missing angles and lengths
- Coordinates and shape
- Shape and sorting
- 2-D and 3-D shape
- Volume and surface area of prisms