Home > Geometric reasoning > 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.
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.
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.
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.
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.
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.