Line segment AC and BD are parallel. What are the new endpoints of the line segments AC and BD if the parallel lines are reflected across the x-axis?
A. A'(-2, 5) C'(5, 1) and B'(-2, -4) D'(5, 0)
B. A'(-5, -2) C'(-1, 5) and B'(-4, -2) D'(0, 5)
C. A'(2, -5) C'(-5, -1) and B'(2, -4) D'(-5, 0)
D. A'(5, 2) C'(1, -5) and B'(4, 2) D'(0, -5)
Answers
Option C : A'(2, -5) C'(-5, -1) and B'(2, -4) D'(-5, 0) is correct.
We have two line segments AB and CD parallel to each other.
We have to find the new endpoints if the parallel lines are reflected across the x - axis.
How will you find the image of the point across the x - axis?For a point P(x, y), its reflection across the x-axis is P'(x, -y).
From the figure - the coordinates of points A, B, C, D are -
[tex]A(2,5)\\B(2,4)\\C(-5, 1)\\D(-5, 0)[/tex]
We know the image of the point P(x, y) across the x-axis is P'(x,-y). Therefore, the coordinates of the points, when they are reflected across the x-axis are-
[tex]A(2,5) - > A'(2, -5)\\B(2, 4)- > B'(2, -4)\\C(-5, 1)- > C'(-5, -1)\\D(-5,0)- > D'(-5,0)[/tex]
Hence, Option C : A'(2, -5) C'(-5, -1) and B'(2, -4) D'(-5, 0) is correct.
To solve more questions on reflection of points, visit the link below -
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Step-by-step explanation:
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