Topic 3 Similarity – Mathematics Form Two
Understanding similar triangles is crucial in scaling, designing structures, even in photographing, where proportions must be maintained. All of these skills are possible for someone with knowledge of similar figures.
In this chapter, you will learn the concept of similar figures, recognise the properties of similar triangles and explain postulates, proofs, and theorems of congruent triangles.
The competencies developed will be applied in constructions and in architectural matters such as finding heights of buildings, bridges and trees, where tape measures cannot be used conveniently and many other applications.
THE CONCEPT OF SIMILARITY
The previous chapter discussed congruent figures which are figures with identical shape and size. This chapter introduces the concept of similar figures which advances the concept of congruent figures. Engage in Activity to explore the concept of similar figures.
Similarity is a relationship of two or more figures in which they have the same shape but different sizes. It is always true that similar figures have same shape, but to be precise, they have two more important properties namely:
- The ratio of all pairs of corresponding sides is always constant.
- All corresponding angles have the same size.
Topic 3 Similarity – Mathematics Form Two
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