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Find the scale factor of triangle ABC to triangle DEF

masters

Active member
Jan 30, 2012
13
Triangles ABC and DEF are similar.

Triangle ABC has a perimeter of 16cm.

Triangle DEF has side of 6cm, 8cm and 10cm.

What is the scale factor of triangle ABC to triangle DEF?

A. 1/2
B. 1/3
C. 2/3
D. 3/2
E. 2/1

I concluded the answer is D. Am I correct?
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
639
What is the scale factor of triangle ABC to triangle DEF?
perimeter of ABC : perimeter of DEF = 16:24 = 2:3
 

HallsofIvy

Well-known member
MHB Math Helper
Jan 29, 2012
1,151
There is a difference between the "scale factor of triangle ABC to triangle DEF" and the "scale factor of triangle DEF to triangle ABC". You found the wrong one! Since ABC is smaller than DEF, the scale factor is less than 1.
 

masters

Active member
Jan 30, 2012
13
Then, is this textbook example incorrect?
 

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skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
639
The dilation scale factor, which is a transformation, of triangle ABC to triangle DEF is 3/2

The scale ratio, like a map's scale, of triangle ABC to triangle DEF is 2/3

Sorry for the confusion.
 

masters

Active member
Jan 30, 2012
13
The dilation scale factor, which is a transformation, of triangle ABC to triangle DEF is 3/2

The scale ratio, like a map's scale, of triangle ABC to triangle DEF is 2/3

Sorry for the confusion.
So, the question asked about "scale factor", not ratio of any kind. Is the answer, in fact, "D", which is 3/2?