Question

Geometry help please? I suck with proofs. >.<

Answer 1

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Answer 2

I Segment DE is parallel to segment AC. Slopes of parallel lines are equal.
II The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
III Slope of segment DE is -2 and slope of segment AC is -2. By the slope formula
IV Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula
V Segment DE is half the length of segment AC. By substitution

Answer 3

These are out of order, the options of the correct order are

Answer 4

III, II, I, IV, V

III, I, IV, V, II

II, I, III, V, IV

II, III, I, IV, V

Answer 5

I really suck at proofs. :/ Please help.

Answer 6

@amistre64 or somebody, please help :/