Hunter's Woods PH

Montessori Geometry

Montessori Geometry: Two Straight Lines Crossed by a Transversal

An introduction to two straight lines (not necessarily parallel) crossed by a transversal. Illustrates interior, exterior, alternate, consecutive, and corresponding angles.

In this presentation, the two straight lines crossed by a transversal are not necessarily parallel. It is an introduction to the terminology and aims to arrive at two conclusions:

  1. Two straight lines cut by a transversal will form eight angles.
  2. Two straight lines cut by a transversal form four interior and four exterior angles.

Presentation: Two Straight Lines Crossed by a Transversal

Definitions

A transversal is a line that passes through two lines in the same plane at two distinct points.

Alternate angles are pairs of angles that:

  • have distinct vertex points,
  • lie on opposite sides of the transversal, and
  • are either:
    • both interior (called alternate interior angles), or
    • both exterior (called alternate exterior angles).

Consecutive interior angles are pairs of angles that:

  • have distinct vertex points,
  • lie on the same side of the transversal, and
  • are both interior.

Corresponding angles are pairs of angles that:

  • have distinct vertex points,
  • lie on the same side of the transversal, and
  • one angle is interior while the other is exterior.

Mastery Quiz: Two Straight Lines Crossed by a Transversal

Name The Angles

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