Question

What is the scale factor of triangle ABC to DEF ?

Answer 1

Answer: the answer is 3.

Step-by-step explanation:

Answer 2

Answer: The correct option is (A). 3.

Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.

As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are

AB = 5 units, BC = 4 units, CA = 3 units,

DE = 15 units, EF = 12 units, FD = 9 units.

We know that the scale factor is given by

`S=\frac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.`

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

`S=(DE)/(AB)=(15)/(5)=3.`

Thus, the required scale factor is 3.

Option (A) is correct.