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ΔABC undergoes a dilation, with a scale factor of 5, to form ΔA'B'C'.



Side A'B' is 5 times the length of side AB.


What is the area of ΔA'B'C', compared to the area of ΔABC?


A. The area of ΔA'B'C' is 1/5 of the area of ΔABC.

B. The area of ΔA'B'C' is 1/25 of the area of ΔABC.

C. The area of ΔA'B'C' is 25 times the area of ΔABC.

D. The area of ΔA'B'C' is 5 times the area of ΔABC.

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Answer:

option C

The area of ΔA'B'C' is 25 times the area of ΔABC.

Step-by-step explanation:

Given in the question that ΔABC is dilated to ΔA'B'C' with a scale factor of 5.

and side A'B' is 5 times the length of side AB

The area of ΔA'B'C' will be 5² time the area of ΔABC because

1/2AB = 1/2(5)A'(5)B'

AB = (5)(5)A'B'

AB = 25A'B'

Answer:

option C

Step-by-step explanation:

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