Lesson Worksheet: Lines and Transversals Mathematics

In this worksheet, we will practice identifying the relation between two lines or plans and naming the angle pairs formed by two lines and their transversal.


If 𝐴𝐵𝐶𝐷 and 𝐸𝐹𝐶𝐷 and 𝐸𝐹 intersects 𝐴𝐵 at point 𝐺, which of the following is correct?

  • A𝐴𝐵 is perpendicular to 𝐶𝐷.
  • B𝐸𝐺 bisects 𝐴𝐵.
  • C𝐸𝐹 bisects 𝐶𝐷.
  • D𝐴𝐵 is parallel to 𝐸𝐺.
  • E𝐴𝐵 is perpendicular to 𝐸𝐺.


True or False: If two distinct lines are parallel to a third distinct line, then all three lines are parallel.

  • ATrue
  • BFalse


If 𝐹 is a point on 𝐴𝐵 and 𝐸 is a point on 𝐶𝐷, 𝐴𝐵𝐸𝐹 and 𝐶𝐷𝐸𝐹, which of the following is correct?

  • A𝐸𝐹 bisects 𝐶𝐷.
  • B𝐴𝐵 is perpendicular to 𝐶𝐷.
  • C𝐸𝐹 bisects 𝐴𝐵.
  • D𝐴𝐵 is parallel to 𝐸𝐹.
  • E𝐴𝐵 is parallel to 𝐶𝐷.


True or False: If two parallel lines are intersected by a transversal, the corresponding angles are congruent.

  • ATrue
  • BFalse

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