The coordinates of a point and its image are given below. What is the line of reflection? (-1,-4) – (-4, -1)

Question

The coordinates of a point and its
image are given below. What is the line
of reflection?
(-1,-4) – (-4, -1)

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niczorrrr 3 weeks 2023-01-09T05:24:53+00:00 1 Answer 0 views 0

Answer ( 1 )

  1. Eirian
    0
    2023-01-09T05:26:01+00:00
    Reply
    Answer:
    y = x
    Explanation:
    Let A(-1,-4) and B(-4,-1).
    The slope of AB is -1, and the midpoint of AB is (-2.5, -2.5).
    The perpendicular bisector of AB thus has a slope of 1 and passes through (-2.5, -2.5).
    The perpendicular bisector is the line of reflection, which has equation y = x.

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