Answered

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

If ED Is The Midsegment Of ABC Which Of The Following Statements Are Necessarily True class=

Sagot :

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:

[tex]AE\cong EC[/tex]

Also, by the midsegments theorem we have:

[tex]ED=2BC[/tex]

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

[tex]\angle ADE\cong\angle ABC[/tex]

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