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the midpoint of segment ab is (1, 12). the coordinates of point a are (3, 8). find the coordinates of point b.
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the midpoint of segment ab is (1, 12). the coordinates of point a are (3, 8). find the coordinates of point b.

User Damith Udayanga
by
8.2k points

2 Answers

3 votes

Answer: (D) -1,16

Explanation:

User Viele
by
8.0k points
0 votes
M(x, y) = ((x1 + x2)/2, (y1 + y2)/2)
M(1, 12) = ((3 + x2)/2, (8 + y2)/2)
(3 + x2)/2 = 1
3 + x2 = 1 * 2 = 2
x2 = 2 - 3 = -1

(8 + y2)/2 = 12
8 + y2 = 2 x 12 = 24
y2 = 24 - 8 = 16

Therefore, B = (-1, 16)
User CZoellner
by
7.8k points
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