carbjne
carbjne carbjne
  • 01-02-2021
  • Mathematics
contestada

Check all the true statements.

Check all the true statements class=

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absor201
absor201 absor201
  • 02-02-2021

Answer:

The true statements are:

  • 2DE = AC
  • 1/2AC = DE
  • DE || AC  

Step-by-step explanation:

As we are given,

AD = 3.5 and BD = 3.5

CE = 3 and BE = 3

From the given triangle ΔABC, it is clear that:

The segment DE bisects the sides AB and BC, so

AD = BD

CE = BE

It is clear that the segment DE is parallel to the segment AC, thus

DE || AC  

As DE is the midsegment between AB and BC, so

2DE = AC

1/2AC = DE

Thus, the true statements are:

  • 2DE = AC
  • 1/2AC = DE
  • DE || AC  
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