Question

Which statement is true about the given information?

Answer 1

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE  ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

 the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

  third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

 BD = BC + CD

 CE = CD + DE

 BC ≅ DE and CD is common

 then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

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