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Mathematics 16 Online
OpenStudy (anonymous):

In Triangle ABC shown below, side AB is 6 and side AC is 4. Which statement is needed to prove that segment DE is parallel to segment BC and half its length? Segment AD is 3 and segment AE is 4. Segment AD is 3 and segment AE is 2. Segment AD is 12 and segment AE is 8. Segment AD is 12 and segment AE is 4.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

notice the key phrase "that segment DE is parallel to segment BC and half its length"

jimthompson5910 (jim_thompson5910):

basically DE = (1/2)*BC

jimthompson5910 (jim_thompson5910):

So the sides of the smaller triangle are half of the corresponding sides of the larger triangle

OpenStudy (anonymous):

so its b?

jimthompson5910 (jim_thompson5910):

you are 100% correct

OpenStudy (anonymous):

thank you!

jimthompson5910 (jim_thompson5910):

yw

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