5
algebra

Which equation represents the perpendicular bisector of the segment connecting (2,2)(2, 2) and (6,2)(6, 2)?

A

x=4x = 4

B

y=4y = 4

C

x=2x = 2

D

y=2y = 2

Correct Answer: A

Choice A is the correct answer. Horizontal segment.

  1. Midpoint: Average x is (2+6)/2=4(2+6)/2 = 4. Point (4,2)(4, 2).
  2. Segment: Horizontal (y=2y=2).
  3. Perp: Vertical.
  4. Equation: Vertical line through (4,2)x=4(4, 2) \rightarrow x = 4.

💡 Strategic Tip: Bisector of horizontal is vertical.

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