Question

Find the other endpoint of the line segment with the given endpoint and mid point.

1. Endpoint:(-1, 9), midpoint: (-9, -10)



2. Endpoint: (2, 5), midpoint: (5, 1)



3. Endpoint:(9, -10), midpoint: (4, 8)



Critical Thinking

4. Find the point that is one-fourth of the way from (2, 4) to (10, 8).

Answer 1

http://hotmath.com/tutor/?pid=genericalg1_12_3_Geometry_19_1110&gt_index=genericalg1:12:3:9

Answer 2

For x:

(-1+x)/2 = -9

-1/2 + x/2 = -18/2

x/2 = -17/2

x=-17

For y:

(9+y)/2 = -10

9/2 +y/2 = -20/2

y/2 = -29/2

y = -29

Your point: (-17,-29)

Answer 3

OH! Here we go! It's simpler than I though. Sorry about that.

http://www.algebra.com/algebra/homework/Coordinate-system/Coordinate-system.faq.question.176789.html

Answer 4

*thought

Answer 5

Diff in x: 10-2 = 8

Diff in y: 8-4=4

1/4 of x: (1/4)* 8 = 2

1/4 of y: (1/4)*4 = 1

original points: (2,4)

End Point = (x1 + diff in x, y1 + diff in y)

End point = (2 + 2, 4 + 1) = (4,5)

Answer 6

The distance is correct if you check (2,4) and (10,8) vs. (2,4) and (4,5) b/c the second is 1/4 of the distance of the first one.

Answer 7

@purdrew is number 4 making sense? B/c this looks like the "hardest" of them all.