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Katen [24]
3 years ago
13

What is the scale factor of triangle ABC to DEF ?

Mathematics
2 answers:
bekas [8.4K]3 years ago
8 0

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=\dfrac{\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=\dfrac{DE}{AB}=\dfrac{15}{5}=3.

Thus, the required scale factor is 3.

Option (A) is correct.

olasank [31]3 years ago
3 0

Answer: the answer is 3.

Step-by-step explanation:

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