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Arithmetic Problem Solving
Distance, Mid-point and Circles
Expansion and Factorisation
Monomials and Polynomials
Similar Figures & Solids
Simultaneous Linear Equations
Statistical Poster Design
Graphing Calculator Design
Similar Figures & Solids
Self-study Module (II) -
Similar Figures/Solids – Length, Area and Volume
Duration of self-study: 4 weeks
Mode of Assessment: Test (Earn ACE credits)
What you need to learn:
Understand and describe line and rotational symmetries in 2-D figures
Understand and identify similarity in polygons by matching corresponding sides
Understand and apply relationship between the ratios of areas and corresponding sides of similar figures
Understand and apply relationship between the ratios of volumes and corresponding sides of similar solids
2) Textbook 2A Page 101 - 115 Section 4.2, 4.3 Ex 4.2 and Ex 4.3
3) Practice questions
This self-study is part of the entire topic on Congruency and Similarity. You do not need to learn the proofs for Congruency and SImilarity - this will be covered in class.
You will need to cover line and rotational symmetry of 2-D figures, as well as identify similar figures and use the formulas to find the area and volume of similar figures/solids.
(1) To begin, download these notes on symmetry:
(2) View these slides in conjunction with the notes on line symmetry:
(3) Move on to similar figures - usually in Math, the problems are usually
. View this short clip to have an idea of similar triangles:
(4) Download these notes on similarity:
(5) View these slides in conjunction with the notes on similarity:
(6) Download these notes on Area and Volume of similar figures/solids:
2010 Area and Volume.pdf
Video 1: This video shows you how to identify Similar Triangles and the conditions for similarity.
Video 2: The front part of this video is on Congruency, which is NOT included in your self-study. Still, no harm watching and finding out a little. The next part will talk about Conditions for Similarity, about the same as video 1.
Video 3: This video talks about Similar Triangles and Scale Factor. The last part also tells you about how the areas of similar triangles are related to the scale factor.
Video 4: Similar Objects - Area and Volume Relationships.
Video 5: Using Similar Triangles to Solve Problems
Video 6: Scale Factor
Video 7: Area of Similar Figures
Video 8: Volume of Similar Figures
Solutions to Exercises (amended area and Volume solutions on 4 July):
Solutions to Exercises (Similarity).pdf
Solutions to Exercises (Area).pdf
Solutions to Exercises (Volume).pdf
For Area Exercise Q6 (the one with the *), it involves non-similar triangles, which will be covered in class and questions like Q6 type will not be included in the self-study.
Here is a file that gives you more info regarding non-similar triangles:
Non Similar Triangles.pdf
More Practice Questions:
Self-Study Practice Questions.pdf
and its solutions:
Self-Study Practice Questions Solutions.pdf
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