These lessons will involve the students in investigating and understanding:
• Construction 6: Division of a line segment into 2, 3 equal segments without measuring it
• Construction 7: Division of a line segment into any number of equal segments, without measuring it
Revision of and Congruent triangles
• Triangles Triangles - Equilateral, Isosceles and Scalene, Right Angled Triangles
• Construction 10: Triangle given SSS data (Axiom 4 -Congruent triangles)
How to construct (draw) a triangle given three sides - Math Open Reference
• Construction 11: Triangle given SAS data (Axiom 4 -Congruent triangles)
How to construct a triangle given two sides and the included angle - Math Open Reference
• Construction 12: Triangle given ASA data (Axiom 4 -Congruent triangles)
How to construct a triangle given two angles and the included side - Math Open Reference
• More constructions of triangles with SSS, SAS and ASA
• By construction, show that AAA and AAS are not sufficient conditions for congruence.
AAA Triangle similarity test - Math Open Reference
AAS Congruent Triangles - Math Open Reference
• Theorem 2: (i) In an isosceles triangle the angles opposite the equal sides are equal.
Isosceles triangle - math word definition - Math Open Reference
• What is meant by the term “converse"
• (ii) Conversely, if two angles are equal, then the triangle is isosceles
Isosceles triangle - math word definition - Math Open Reference
Khan
Exploring rigid transformations and congruence