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Use the graph to answer the question.

Graph of polygon ABCD with vertices at negative 4 comma negative 5, negative 2 comma 2, 3 comma 2, 1 comma negative 5. A second polygon A prime B prime C prime D prime with vertices at negative 4 comma 5, negative 2 comma negative 2, 3 comma negative 2, 1 comma 5.

Determine the line of reflection used to create the image.

x = −2
x-axis
y = −2
y-axis



Answer :

sqdancefan

Answer:

  (b)  x-axis

Step-by-step explanation:

You want the line of reflection that maps A(-4, -5) to A'(-4, 5).

Line of reflection

The line of reflection is the perpendicular bisector of a point and its image.

Points A(-4, -5) and A'(-4, 5) both lie on the vertical line x = -4. The midpoint of that line is ...

  M = (A +A')/2 = ((-4, -5) +(-4, 4))/2 = (-8, 0)/2 = (-4, 0)

Then the perpendicular bisector will be the horizontal line through the point (-4, 0). That line is y = 0, the equation of the x=axis.

The x-axis is the line of reflection, choice B.

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