The line segment is rotated by 270 degrees counterclockwise about the origin to form C'D'. Which statement describes C'D'? C'D'
is 4 units long. C'D' is 8 units long. C'D' is parallel to CD. C'D' is half the length of CD.
1 answer:
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Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m = =
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m = =
= 2
Since slope of AB and CD are equal then lines are parallel
