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ΔABC undergoes a dilation, with a scale factor of 3, to form ΔA'B'C'. Side A'B' is 3 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 1/3 of the area of ΔABC.

B The area of ΔA'B'C' is 1/9 of the area of ΔABC.

C The area of ΔA'B'C' is 3 times the area of ΔABC.

D The area of ΔA'B'C' is 9 times the area of ΔABC.

Respuesta :

calculista
we know that
if ΔABC undergoes a dilation, with a scale factor of 3, to form ΔA'B'C'.
then
Area ΔA'B'C'=[scale factor]²*ΔABC
Area ΔA'B'C'=[3]²*ΔABC
Area ΔA'B'C'=9*ΔABC

therefore

the answer is the option
D The area of ΔA'B'C' is 9 times the area of ΔABC.

Answer:

the answer is the option

D The area of ΔA'B'C' is 9 times the area of ΔABC.

Step-by-step explanation: