Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
A two column proof of the theorem is shown but the statement and reasons are not in correct order.

Statement

Reason

I

The coordinates of point D are (4, 5) and coordinates of point E are (5, 3)

By the midpoint formula

II

Segment DE is half the length of segment AC.

By substitution

III

Length of segment DE is and length of segment AC is .

By the distance formula

IV

Question

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
A two column proof of the theorem is shown but the statement and reasons are not in correct order.
 






  


Statement 


Reason 




I 


The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) 


 By the midpoint formula 




II 


Segment DE is half the length of segment AC. 


By substitution 




III 


Length of segment DE is and length of segment AC is . 


By the distance formula 




IV

anonymous · Answer

which lesson was this on I prob. have the answer?

anonymous · Answer

module 10 honors exam

anonymous · Answer

nope about take that now, though it was home work, good luck

anonymous · Answer

Thankyou