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77julia77 [94]
2 years ago
12

Q8 The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Mathematics
1 answer:
Amanda [17]2 years ago
4 0

Answer:

(3,-5)

Step-by-step explanation:

Given

M = (2,2)

H = (1,9)

Required

Determine G

This is calculated using the following midpoint formula;

M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

Where

(x,y) = (2,2) and (x_1,y_1) = (1,9)

Substitute these values in the formula above

(2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})

Solving for x_2

2 =\frac{1 + x_2}{2}

Multiply both sides by 2

2 * 2 = 1 + x_2

4 = 1 + x_2

x_2 = 4 - 1

x_2 = 3

Solving for y_2

2 = \frac{9 + y_2}{2}

Multiply both sides by 2

2 * 2 = 9 + y_2

4 = 9 + y_2

y_2 = 4 - 9

y_2= -5

Hence, the coordinates of G is (3,-5)

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