Question

PLEASE HELP?!

3. Find the midsegment of triangle BCD, which is parallel to BC. Label the endpoints of the midsegment as E and G.

What are the coordinates of E and G? ________________

Show work verifying that EG and BC are parallel.______________

Answer 1

the middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2
EG and BD have the same slope, so they are parallel.