Which graph shows a dilation?



Which graph shows a dilation from A to B that is an enlargement with a scale factor of 2.5? AB B
B 14 O
B B 4
中 B 4 O
B 4
         

B 14 O
B B 4
中 B 4 O
B 4

Answer

Answer) Let’s start with option(1) and see whether ratio of length and breath of B to A are 2.5 each. The graph in which ratio of length of B to length of A and breath of B to breath of A is 2.5 each,that option is correct. By analysing visually,we get graph in the option(4) is the CORRECT ANSWER. Let’s see why-: Now Look at the graph given in option(4)-: Length of A =3 Length of B = 7.5 Ratio of length = length of B/length of A = 7.5/3 = 2.5 Breath of A = 5 Breath of B = 2 Ratio of breath = breath of B/breath of A = 5/2 = 2.5

As we can see ratio of both length and breath is 2.5.Therefore, Graph in option(4) is the answer.


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