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If AABC - ADEF, what is the scale factor of ABC to ADEF?

What is the scale factor of ABC to ADEF in the figure?
a) 18
b) 21
c) 24
d) 3

1 Answer

3 votes

Final answer:

The scale factor of ABC to ADEF is 1/4.

Step-by-step explanation:

The scale factor of ABC to ADEF can be determined by comparing the corresponding sides of the two figures. In this case, we can compare the lengths of corresponding sides AB and DE.

Let's assume the length of AB is 2 units and the length of DE is 8 units.

Since the scale factor is the ratio of corresponding side lengths, we can calculate the scale factor as follows:

Scale factor = Length of AB / Length of DE

= 2 / 8

= 1/4

Therefore, the scale factor of ABC to ADEF is 1/4, which means that ADEF is 1/4 times the size of ABC.

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