Question

Use the image to determine the line of reflection.

An image of polygon VWYZ with vertices V at negative 11, 2, W at negative 11, 0, Y at negative 5, 0, and Z at negative 5, 2. A second polygon V prime W prime Y prime Z prime with vertices V prime at 7, 2, W prime at 7, 0, Y prime at 1, 0, and Z prime at 1, 2.

Reflection across the x-axis
Reflection across the y-axis
Reflection across x = −2
Reflection across y = 2

Answer 1

(c) Reflection across x = -2

Explanation:

You want to know the line of reflection that causes VWYZ to be mapped to V'W'Y'Z' as shown in the attached figure.

Line of reflection

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

The midpoint of VV' is ((-11, 2) +(7, 2))/2 = (-4, 4)/2 = (-2, 2). The line VV' has the same y-coordinate at both ends, so is a horizontal line. Its perpendicular bisector is the vertical line through (-2, 2), which is the line ...

x = -2 . . . . . choice C

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