Finding the coordinates of triangle vertices given midsegment

[swimmyturtle]

I have to admit I am stumped on this one. I know how to find coordinates of triangle vertices of given three midsegment points but not two.


DE is a midsegment of triangle ABC parallel to side AB. D is located at (6,4) and E is located at (10,1). What are the coordinates of the side AB?

a) A (2,4) B (10,-2)

b) A (5,8) B (11,0)

c) A )12,0) B (5,0)

d) A (1,4) B (7,-4)

 

[Deleted member 4993]

I have to admit I am stumped on this one. I know how to find coordinates of triangle vertices of given three midsegment points but not two.


DE is a midsegment of triangle ABC parallel to side AB. D is located at (6,4) and E is located at (10,1). What are the coordinates of the side AB?

a) A (2,4) B (10,-2)

b) A (5,8) B (11,0)

c) A )12,0) B (5,0)

d) A (1,4) B (7,-4)

Can you calculate the length of DE? Then what would be the length of AB?

Then check the slope of AB and DE.

 

[swimmyturtle]

Can you calculate the length of DE? Then what would be the length of AB?

Then check the slope of AB and DE.

Yes, the length of AB is 10 (distance formula) so DE is 5. Slope for both is -3/4. I do not know how to use that information to go any further.

 

[Deleted member 4993]

Yes, the length of AB is 10 (distance formula) so DE is 5. Slope for both is -3/4. I do not know how to use that information to go any further.

You are given four sets of points. Which set gives you both slope and distance (of AB) that meets the requirements (of length and slope)?