Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Complete the following proof.

Prove: The segment joining the midpoints of two sides of a triangle is parallel to the third side.

Answer 1

For M:
(((0+c)/2), ((0+d)/2))=((c/2), (d/2))
For N:
(((a+c)/2), ((0+d)/2))=(((a+c)/2), (d/2))
Slope of MN:
MN=(y2 - y1)/(x2- x1)
MN=((d/2) - (d/2))/(((a+c)/2)- (c/2))
MN=(0/(((a+c)/2)- (c/2))
MN=0
Slope of AB:
AB=(0 - 0)/(a)
AB=(0)/(a)
AB=0