87.2k views
7 votes
Check all the true statements.

Check all the true statements.-example-1

1 Answer

9 votes

Answer:

The true statements are:

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

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
User Vinayak Sakhare
by
4.8k points