Worksheet: Geometric Constructions: Perpendicular Lines

In this worksheet, we will practice constructing perpendicular bisectors and perpendicular lines from points outside straight lines.

Q1:

Draw any line segment from a point 𝐵 to a point 𝐶 and bisect it at the point 𝐷. From 𝐷, draw a line perpendicular to 𝐵𝐶 to a point 𝐴. What can you say about the lengths of 𝐴𝐵 and 𝐴𝐶?

  • A 𝐴 𝐵 = 𝐴 𝐶
  • B 𝐴 𝐵 > 𝐴 𝐶
  • C 𝐴 𝐵 < 𝐴 𝐶

Q2:

What does the following figure illustrate?

  • Aa bisector of a line segment
  • Ba straight line parallel to another line
  • Ca perpendicular to a straight line originating from it
  • Da perpendicular from a point lying outside a straight line
  • Ea bisector of an angle

Q3:

What construction is illustrated below?

  • Aan angle congruent to another angle
  • Ba perpendicular from a point lying outside a straight line
  • Ca bisector of a line segment
  • Da bisector of an angle
  • Ea straight line parallel to another line

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