Question

please help me with this question :C
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 a justification is missing.

Answer 1

Statement Justification
The coordinates of point D are (4, 5) and coordinates of point E are (5, 3)---- Midpoint Formula
Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5. ----missing justification
Segment DE is half the length of segment AC. ----Substitution Property of Equality
Slope of segment DE is −2 and slope of segment AC is −2----.Slope Formula
Segment DE is parallel to segment AC----Slopes of parallel lines are equal.

Answer 2

the choices are ...
Which is the missing justification?
Additive Identity
Distance Formula
Midsegment Theorem
Transitive Property of Equality

Answer 3

right distance calculation, you know all the points at that time they calculated the distance to get those values

Answer 4

@DanJS so distance formula?

Answer 5

yup

Answer 6

thank you C: