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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.

Additional details

Year level(s) Year 8
Audience Teacher
Purpose Teaching resource, Student task
Format Web page
Teaching strategies and pedagogical approaches Explicit teaching
Keywords Congruent, Quadrilateral, Side, Angle, Triangle, Transformation, Plane shape

Curriculum alignment

Curriculum connections Critical and creative thinking, Numeracy
Strand and focus Space
Topics Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions
AC9M8SP01
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

AC9M8SP02
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

Numeracy progression Understanding geometric properties (P6, P7)
Proportional thinking (P6)

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© Jessica Uy. Creative Commons BY-NC 4.0.