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Vikentia [17]
1 year ago
10

Does anyone know the answer to this?

Mathematics
1 answer:
arlik [135]1 year ago
6 0

Answer:

C

Step-by-step explanation:

for AB to be parallel to CD then the slopes of both segments must be equal

using the slope formula to find the slopes , then

A (x₁, y₁ ) and B (x₂, y₂ )

m_{AB} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

C (x₃, y₃ ) and D (x₄, y₄ )

m_{CD} = \frac{y_{4}-y_{3}  }{x_{4}-x_{3}  }

then

m_{CD} = m_{AB}

\frac{y_{4}-y_{3}  }{x_{4}-x_{3}  } = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } → C

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