3
algebra

Find the equation of the perpendicular bisector of the segment connecting (0,0)(0, 0) and (4,0)(4, 0).

A

x=2x = 2

B

y=2y = 2

C

x=4x = 4

D

y=xy = x

Correct Answer: A

Choice A is the correct answer. Midpoint and perpendicular slope.

  1. Midpoint: Average of x's and y's. (2,0)(2, 0).
  2. Segment Slope: Horizontal (y=0y=0).
  3. Perp Slope: Vertical (Undefined).
  4. Equation: Vertical line through (2,0)→x=2(2, 0) \rightarrow x = 2.

💡 Strategic Tip: The perpendicular bisector of a horizontal segment is a vertical line through the midpoint.

Choice B is incorrect because horizontal. Choice C is incorrect because not midpoint. Choice D is incorrect because diagonal.

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Linear Functions Set 93