1.6 Geometric Reasoning

1.6 resource folder

1.6 Geometric reasoning

Welcome to the 1.6 Geometric Reasoning page at Takapuna Grammar School. To the left (or below on a small screen) you have a public course drive with any publicly shared resources. The goal is the add more content to this page in the future.

Exam revision

2018 Paper. Answers. Tutorial

2017 Paper. Answers. Merit example

2016 Paper. Answers. Tutorial. Example paper (E)

2015 Paper. Answers. Tutorial. Eample paper (E)



Curriculum content


Similar shapes (lengths). Tutorial

Similar shapes (area and volume). Tutorial

Congruent triangles (not part of 1.6 but useful). Tutorial


Pythagoras' Theorem. Video tutorial 1, Video tutorial 2, video tutorial 3 moving away from right angled triangles. Revision notes. Revision questions, answers


Trigonometry. Video tutorial introduction to Trig, Finding missing sides video 1, Finding missing sides and angles video 2 and 3, Alternative video for finding missing sides.

Trig revision notes, Questions and answers

3D Trig and Pythagoras. Tutorial


Sine and cosine rule. Tutorial sine rule. Cosine rule



Circle theorems


Circles: segment area Video 63 Practice Questions Textbook Exercise

Circle theorems – theorems Video 64 Practice Questions Textbook Exercise

Circle theorems – examples Video 65 Practice Questions Textbook Exercise

Circle theorems proof: right angle in a semi-circle Video 65a Practice Questions

Circle theorems proof: angles at circumference\centre Video 65b Practice Questions

Circle theorems proof: angles in the same segment Video 65c Practice Questions

Circle theorems proof: cyclic quadrilaterals Video 65d Practice Questions

Circle theorems proof: alternate segment theorem Video 65e Practice Questions

Circle theorems proof: radius and tangent proof Video 65f Practice Questions

Circle theorems proof: Textbook Exercise

All circle theorems in one video. Play