The scale factor of the dilation of triangle DEF is 3/10
Given,
Triangle DEF's scale factor of dilation is equal to the ratio of its corresponding sides to those of triangle D'E'F':
f = D'F'/DF = D'E'/DE = E'F'/EF scale factor (1)
The comparable triangles OD'F' and ODF can be used to calculate the ratio D'F'/DF because their sides must be proportional:
D'F'/DF = OF'/OF = OD'/OD (2) (2)
According to the figure, we understand:
If F'F = 7 and OF' = 3, then
OF = OF' + F'F → OF = 3 + 7 → OF = 10
Then substituting in (2):
(2) DF/DF = 3/10 = OD/OD
Also substituting in (1):
(1) f = 3/10 = E'F'/EF = D'E'/DE
That is,
The scale factor of the dilation of triangle DEF is 3/10
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The question is incomplete. Completed question is given below;
What is the scale factor of the dilation of triangle DEF?
Figure is attached;
