The smaller triangle is a pre-image of the bigger triangle. The center of dilation is (2, −2).
2 answers:
Answer: The correct option is fourth option, i.e., -3.
Explanation:
It is given that the smaller triangle is a preimage of the bigger triangle. The center of dilation is (2, −2).
From the given figure it is noticed that the vertices of preimage are A(2,-2), B(2,2), C(-2,-2) and the vertices of preimage are A'(2,-2), B'(2,-14) and C'(14,-2).
The length of AB is 4 and the length of A'B' is 12.
The sides of image and preimage are in proportion.
proportion =
Since the image is enlargement of preimage therefore k>1 and k<-1.
Since the image and preimage are lies in opposite sides of center of dilation, therefore the scale factor must be negative.
There correct option is option 4.
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