If two shapes are similar, one is an enlargement of the other. This
means that the two shapes will have the same angles and their sides will be in
the same proportion (for example, the sides of one triangle might all be 3 times
the length of the sides of the other).
angle A = angle D angle B = angle E angle C = angle
F
AB/DE = BC/EF = AC/DF = perimeter of ABC/ perimeter of DEF
Two
triangles are similar if any of the following is true:

3 angles of 1 triangle are the same as 3 angles of the other

3 pairs of corresponding sides are in the same ratio

An angle of 1 triangle is the same as the angle of the other
triangle and the sides containing these angles are in the same ratio.
Example
In the above diagram, the triangles are similar. EF = 6cm and
BC = 2cm . What is the length of DE if AB is 3cm? EF = 3BC, so DE = 3AB =
9cm.
Copyright © Matthew Pinkney 2003
