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

Resources:
1) Notes 2) Textbook 2A Page 101 - 115 Section 4.2, 4.3 Ex 4.2 and Ex 4.3
3) Practice questions

Instructions

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.

(3) Move on to similar figures - usually in Math, the problems are usually similar triangles. View this short clip to have an idea of similar triangles:

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.

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:

Similar Figures/Solids – Length, Area and VolumeDuration of self-study: 4 weeks

Mode of Assessment: Test (Earn ACE credits)

What you need to learn:

Resources:

1) Notes

2) Textbook 2A Page 101 - 115 Section 4.2, 4.3 Ex 4.2 and Ex 4.33) Practice questions

## Instructions

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

similar triangles. 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:

More Resources:Video 1: This video shows you how to identify Similar Triangles and the conditions for similarity.

[URL: http://www.youtube.com/watch?v=5aOQAygTUJ8]

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.

[URL: http://www.youtube.com/watch?v=OEp7YK6WEXE]

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.

[URL: http://www.youtube.com/watch?v=5c6J2isloqo]

Video 4: Similar Objects - Area and Volume Relationships.

[URL: http://www.youtube.com/watch?v=XHjCbfJw4lM]

Video 5: Using Similar Triangles to Solve Problems

[URL: http://www.youtube.com/watch?v=5c6J2isloqo&feature=related]

Video 6: Scale Factor

[URL: http://www.youtube.com/watch?v=XtkU4VkWh8I]

Video 7: Area of Similar Figures

[URL: http://www.youtube.com/watch?v=4jYuWbjddU8&feature=related]

Video 8: Volume of Similar Figures

[URL: http://www.youtube.com/watch?v=EBvWL4CL4LQ]

Solutions to Exercises (amended area and Volume solutions on 4 July):

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:

More Practice Questions:

and its solutions: