Question

Determine the line of reflection.

Reflection across x = 4
Reflection across y = 4
Reflection across the x-axis
Reflection across the y-axis

Answer 1

The correct answer:

Reflexion across x = 4

Answer 2

(a) Reflection across x = 4

Explanation:

You want to know the line of reflection that maps C(1, 6) to C'(7, 6).

Line of reflection

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

Points C(1, 6) and C'(7, 6) are both on the line y = 6. The perpendicular line will have the equation x = constant. That constant is the x-coordinate of the midpoint of the segment CC'.

(C +C')/2 = (1+7, 6+6)/2 = (8, 12)/2 = (4, 6)

The perpendicular bisector of the segment CC' is x = 4.

The line of reflection is x = 4, choice A.

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