9
algebra

Find the equation of the perpendicular bisector of the segment connecting (0,2)(0, 2) and (0,6)(0, 6).

A

y=4y = 4

B

x=4x = 4

C

y=2y = 2

D

x=0x = 0

Correct Answer: A

Choice A is the correct answer. Vertical segment.

  1. Midpoint: Average of y's is (2+6)/2=4(2+6)/2 = 4. Point (0,4)(0, 4).
  2. Segment: Vertical (on y-axis).
  3. Perp: Horizontal.
  4. Equation: Horizontal line through (0,4)→y=4(0, 4) \rightarrow y = 4.

💡 Strategic Tip: Bisector of a vertical segment is horizontal.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 94