The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled.

Point D is the point of dilation.

Step-by-step explanation:

If the smaller triangle A'B'C' is dilated to form a larger triangle ABC by the dilation about point D,

Ratio of the DA and DA' will be equal to the ratio of DB and DB'.

Length of DA = 3 units

Length of DA' = 1 unit

Coordinates of D → (3, 0)

Coordinates of B → (9, 3)

Coordinates of B' → (5, 1)

Use the formula of distance between the two points to find find the length of DB and DB'

Length of DB =

Length of DB' =

Ratio of DB and DB' =

Ratio of DA and DA' = 3 : 1

Since,

Therefore, smaller triangle is dilated by a scale factor of 3 to form the bigger triangle about the point D.

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