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Similarity
Chapter Three
Similarity
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Introduction
Understanding similar triangles is crucial in scaling, designing structures, even in Mathematics for Secondary Schools
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.
Think
A world without knowledge of scales, proportions, sizes and comparisons.
Similar figures
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 3.1 to explore the concept of
similar figures.
Activity 3.1: Recognizing similarities between figures
1. Cut a rectangle from the edge of a plain paper or a manila sheet as shown in the
following figure, then compare the rectangle with the original paper in terms of
shape and size.
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MATHEMATIC F2 v5.indd 37
