8th Grade Math (Math 8) · Chapter 8 · Lesson 8.3 · Printable PDF

Perpendicular Bisector of a Segment Worksheet with Answer Key

7 problems on the perpendicular bisector of a segment: points on it, lengths and equal distances, folding a paper strip, deciding if a line is the bisector, finding an endpoint, and two segments sharing a bisector. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Perpendicular bisector of a segment worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Decide which lines through a segment of length 20 are perpendicular bisectors:
  2. Find the lengths asked for using a perpendicular bisector:
    AB = 13.4; find MBAM = 2\dfrac{3}{8}; find ABAM = \dfrac{1}{2}x + 7, MB = 2x - 8; find ABMB = 4x - 1, AB = 6x + 10; find xAM = 3y + 5, one angle at M is (5y + 50)^\circ; find AB
  3. Word problem: folding Mia's 36 cm paper strip so two points meet.
  4. Decide if the line x equal to 3 is the perpendicular bisector of each segment, and say which condition fails.
  5. Find an endpoint from a midpoint, then points on the perpendicular bisector.
  6. Decide if two segments on one line with the same perpendicular bisector must be congruent.
  7. Use equal distances from a point on a line to find lengths.

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Perpendicular bisector of a segment: the lesson ›