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ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.

ΔABC is dilated using a scale factor of 12 to produce ΔABC Select all of the statements that apply to the transformation class=

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Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ΔABC

Area of ΔA'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

Answer: The Third option and the sixth option.

Step-by-step explanation: I have had this question on a test before and i got the answer correct. i hope this helped.

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