SOLUTION: The line segment joining A(0,1) and B(3,6) is extended through each end by a distance equal to half of its original length Find the endpoints: 1. Midpoint of AB 2. Extended endp

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Question 1142819: The line segment joining A(0,1) and B(3,6) is extended through each end by a distance equal to half of its original length
Find the endpoints:
1. Midpoint of AB
2. Extended endpoint in A
3. Extended endpoint in B
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Solve the problem by working with the x coordinates separately and the y coordinates separately.

The distance in the x direction from A to B is 3-0=3; the difference in the y direction from A to B is 6-1=5.

1. Midpoint.
The distance in the x direction from A to the midpoint is half the distance in the x direction from A to B; the distance in the y direction from A to the midpoint is half the distance in the y direction from A to B.

2. Extended endpoint in A.
The distance in the x direction from A to this new endpoint is equal to the distance in the x direction from the midpoint to A; the distance in the y direction from A to this new endpoint is equal to the distance in the y direction from the midpoint to A.

3. Extended endpoint in B.
The distance in the x direction from B to this new endpoint is equal to the distance in the x direction from the midpoint to B; the distance in the y direction from B to this new endpoint is equal to the distance in the y direction from the midpoint to B.