OpenStudy (anonymous):

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

6 years ago
OpenStudy (anonymous):

I the coordinates of point D are (4,5) And coordinates of point E are (5,3). Reason: by the midpoint formula II. Segment DE is half the length of Segment AC Reason: by substitution III. Length of segment DE is sqrt5 And length of segment AC is sqrt5. Reason: by the distance formula IV. Segment DE is parallel to segment AC. Reason : slopes of parallel lines are equal V. Slope of segement DE is -2 and slope of segment AC is -2. Reason: the slope formula

6 years ago
OpenStudy (anonymous):

Which is the most logical order of statements and reasons for the proof? II, III, I, IV, V I, III, II, V, IV I, III, II, IV, V III, II, I, V, IV

6 years ago
hartnn (hartnn):

I,III,II,V,IV seems to be the order

6 years ago
OpenStudy (campbell_st):

just a quick question on this.. maybe ask your teacher... how do you know D and E are the midpoints if the endpoints aren't given... just a thought...

6 years ago
OpenStudy (anonymous):

Thank you, can you help me with another?

6 years ago