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Discovering triangle congruence shortcuts
In this lesson sequence, students will work in pairs using construction to test ‘shortcuts’ to use when proving triangles congruent.
Teaching resource, Student task|
Teaching strategies and pedagogical approaches|
Congruent, Quadrilateral, Side, Angle, Triangle, Transformation, Plane shape|
Critical and creative thinking, Numeracy|
Strand and focus|
Angles and geometric reasoning|
AC: Mathematics (V9.0) content descriptions|
Identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
Understanding geometric properties (P6, P7)
Proportional thinking (P6)
© Jessica Uy. Creative Commons BY-NC 4.0.
Congruence of plane figures
This resource explains the meaning of congruence and demonstrates the various proofs for triangles to be congruent.
reSolve: mechanical linkages – quadrilaterals
This unit focuses on investigating geometry, starting with real-life objects, then making working models and finally using pre-prepared dynamic geometry software.
Congruence graphic organiser
Students create a graphic organiser to show the ways triangles are congruent.
Pythagorean Theorem and irrational numbers
A series of lessons and activities that includes an introduction and exploration of the Pythagorean Theorem and its applications. Part of the Illustrative Math curriculum from GeoGebra.