Question

If ED is the midsegment of ABC, which of the following statements are necessarily true?

Answer 1

If ED is the midsegment of triangle ABC, then that means that the points E and D are the midpoints of segments AC and AB since the midsegment is found by joining the midpoints of a triangle. Since E and D are midpoints then:

$AE\cong EC$

Also, by the midsegments theorem we have:

$ED=2BC$

Also, since segments ED and BC are parallel, that means that:

$\angle ADE\cong\angle ABC$