Respuesta :

Answer:

C

Step-by-step explanation:

Compare the ratios of corresponding sides, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{2}{12}[/tex] = [tex]\frac{1}{6}[/tex]

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{4}{24}[/tex] = [tex]\frac{1}{6}[/tex]

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{4}{24}[/tex] = [tex]\frac{1}{6}[/tex]

Hence

scale factor of ΔABC to ΔDEF is [tex]\frac{1}{6}[/tex]

The scale factor of triangle ABC to triangle DEF is 1/6.

What is the scale factor of two triangles?

"When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles."

In triangle ABC and triangle DEF, AB and DE are similar side.

Therefore, the ratio of these two sides

= AB/DE

= 2/12

= 1/6

Therefore, the scale factor is 1/6.

Learn more about the scale factor of two triangles here: https://brainly.com/question/12575781

#SPJ3

Otras preguntas