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lozanna [386]
2 years ago
12

(pls help me with this)

Mathematics
1 answer:
exis [7]2 years ago
5 0

A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]

B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)

<h3>A. How to determine the mid point</h3>
  • Coordinate of C = (4, 5)
  • Coordinate of D = (p, q)
  • Mid point =?

Mid point = (X , Y)

X = (x₁ + x₂) / 2

X = (4 + p) / 2

Y = (y₁ + y₂) / 2

Y = (5 + q) / 2

Thus,

Mid point = (X , Y)

Mid point = [(4 + p) / 2 , (5 + q) / 2]

<h3>B. How to determine the coordinates of D</h3>
  • Mid point = (7, 1)
  • Coordinates of D =?

Mid point = (7, 1) = (X , Y)

X = (4 + p) / 2

7 = (4 + p) / 2

Cross multiply

7 × 2 = 4 + p

14 = 4 + p

Collect like terms

p = 14 - 4

p = 10

Y = (5 + q) / 2

1 = (5 + q) / 2

Cross multiply

1 × 2 = 5 + q

2 = 5 + q

Collect like terms

q = 2 - 5

q = -3

Coordinates of D = (p, q)

Coordinates of D = (10 , -3)

Learn more about coordinate geometry:

brainly.com/question/4976351

#SPJ1

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