3.5 Perpendicular bisectors

3.5 Perpendicular bisectors Quiz

IB Maths: Applications and Interpretation SL: Quiz

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5 questions, one answer each

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  1. 1. Find the midpoint of (−4,3)(-4,3) and (6,9)(6,9).

    • A. (5,3)(5,3)
    • B. (1,6)(1,6)
    • C. (2,12)(2,12)
    • D. (10,6)(10,6)

  2. 2. A line has gradient 35\frac35. What is the gradient of a line perpendicular to it?

    • A. −35-\frac35
    • B. 53\frac53
    • C. −53-\frac53
    • D. 35\frac35

  3. 3. Find the equation of the perpendicular bisector of the points (0,2)(0,2) and (6,6)(6,6).

    • A. y=−23x+6y=-\frac23x+6
    • B. y=32x−12y=\frac32x-\frac12
    • C. y=−32x+4y=-\frac32x+4
    • D. y=−32x+172y=-\frac32x+\frac{17}{2}

  4. 4. Which point lies on the perpendicular bisector of (1,0)(1,0) and (5,0)(5,0)?

    • A. (3,7)(3,7)
    • B. (7,3)(7,3)
    • C. (0,3)(0,3)
    • D. (4,0)(4,0)

  5. 5. A segment lies on y=2x+1y=2x+1 and has midpoint (3,7)(3,7). Find the equation of its perpendicular bisector.

    • A. y=2x+1y=2x+1
    • B. y=−12x+7y=-\frac12x+7
    • C. y=−12x+172y=-\frac12x+\frac{17}{2}
    • D. y=−2x+13y=-2x+13

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