\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if...
MATHEMATICS
WAEC 2021
\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of \(\overline{XY}\) is (-4,-2) find the coordinates of Y.
- A. (-6,-2)
- B. (0,8)
- C. (4,10)
- D. (0,4)
Correct Answer: B. (0,8)
Explanation
The formula for midpoint= \(\frac{x_1 + x_2}{2}\), \(\frac{y_1 + y_2}{2}\)
(-4,-2) = (x,y)
x =\(\frac{x_1 + x_2}{2}\)
-4 = \(\frac{-8 + p}{2}\)
-4 * 2 =-8 + p
-8 + 8 = p
: p = 0
y =\(\frac{y_1 + y_2}{2}\)
-2 = \(\frac{-12 + q}{2}\)
-2 * 2 = -12 + q
-4 + 12 = q
: q = 8
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