Question 7 of 27
A DEF is a dilation of A ABC by a scale factor of . Which of the following
proportions verifies that A ABC and ADEF are similar?
B
15
12
A 30
9
о
A.
AB
AC
DE
EF
O
B.
AC
DF
O
c.
DE
BC
EF
E PREVIOUS
arch

Any pair of these ratios can be used to write the proportion. Each proportion can be written in 4 different ways. The answer choices show that AB and DE are involved in the proportion we want, so we can have any of ...

AB/DE = BC/EF

AB/DE = AC/DF . . . . . . matches choice B

AB/AC = DE/DF

_____

Additional comment

When we say a proportion can be written 4 ways, we mean all of these versions of a proportion are fully equivalent:

a/b = c/d
a/c = b/d . . . . sideways
b/a = d/c . . . . upside down
c/a = d/b

Question 7 of 27 A DEF is a dilation of A ABC by a scale factor of . Which of the following proportions verifies that A ABC and ADEF are similar? B 15 12 A 30 9 о A. AB AC DE EF O B. AC DF O c. DE BC EF E PREVIOUS arch

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Question 7 of 27
A DEF is a dilation of A ABC by a scale factor of . Which of the following
proportions verifies that A ABC and ADEF are similar?
B
15
12
A 30
9
о
A.
AB
AC
DE
EF
O
B.
AC
DF
O
c.
DE
BC
EF
E PREVIOUS
arch