Question

Question 7 of 27

Answer 1

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Answer:

  B. AB/DE = AC/DF

Step-by-step explanation:

When triangles are similar, corresponding sides have the same ratio. We are told that ∆ABC ~ ∆DEF. This means that corresponding sides are ...

  AB : DE

  BC : EF

  AC : DF

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

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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