Home > Geometric reasoning > Activities

# Activities

## Adding auxilliary lines

This activity has a set of graded problems which require the addition of auxiliary lines in order for them to be solved.

## Circle geometry investigations

In this series of activities, students investigate a particular situation in a circle to form a hypothesis. They then further explore using dynamic geometry software.

## Complete the congruence proof

This cloze activity provides frameworks of varying support for developing congruence proofs.

## Dissected proof

In this activity, students reconstruct a proof of Pythagoras' theorem based on similarity. Students arrange a set of cards, each with either one line of the proof or a reason, in the correct order.

## Dynamic circle geometry

In this activity, pre-prepared learning objects allow all students to benefit from exploring dynamic circle geometry.

## Geometry toolkit

When students write deductive proofs in geometry they need to draw on a significant store of knowledge and skills which they have acquired over a number of years.

## Great angle chase

After they have been introduced to the circle geometry theorems, this activity gives students practice in recognising the relationships in more complex diagrams.

## Hexagonal tangrams

In this activity, students use a tangram to explore a wide variety of hexagons.

This activity uses dynamic diagrams to explore a broad range of angle relationships in a variety of orientations.

## Paper, pencil and protractor

In this activity, students construct all possible triangles which have three given measurements. They determine the conditions under which congruence can be guaranteed.

## Pattern block hexagons

This is a practical activity using patterns blocks which encourages students to think more inclusively about hexagons.

## Property match-up

This is a classroom activity in which students are required to match quadrilateral properties expressed in words with the corresponding properties indicated on a diagram.

## Quadrilateral flowchart puzzle

This is a challenging classroom activity in which students are required to represent the hierarchy of the special quadrilaterals in a flowchart diagram.

## Quadrilateral property quiz

In this classroom activity, students are given physical examples of quadrilaterals that they can fold and measure. They then manipulate digital versions of the same quadrilaterals.

## Translating geometric descriptions

In this construction activity, students draw diagrams to illustrate geometric relationships.

## Virtual congruence

In this activity, students manipulate virtual diagrams and confirm the congruence tests. Once the triangles are constructed, they can be transformed and superimposed on each other.