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Similar shapes have matching corresponding angles and corresponding sides which are in the same ratio.
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In these two triangles, the angles match and you will notice that the second triangle has sides which are double the length of the sides of the first triangle.
The ratio of the bases is 3:6, which simplifies like a fraction to 1:2.
The ratio of the heights is 7:14, which simplifies like a fraction to 1:2.
Example
These two rectangles are similar.
Find the missing length.
Answer
The ratio of the bases is 4:8, which simplifies to 1:2.
The big rectangle's sides are 2 times the matching sides of the small rectangle.
The missing side is 2 × 5 = 10 cm.
Let's have a go at the questions now.
