Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.38

Analyze and apply properties of parallel lines cut by a transversal to determine missing angle measures.

Unpacked Content

Knowledge

Students know:
  • that a straight angle is 180 degrees.
  • That a triangle has three interior angles whose sum is 180 degrees.
  • The definition of transversal.
  • how to write and solve two-step equations.

Skills

Students are able to:
  • make conjectures about the relationships and measurements of the angles created when two parallel lines are cut by a transversal.
  • Informally prove that the sum of any triangle's interior angles will have the same measure as a straight angle.

Understanding

Students understand that:
  • missing angle measurements can be found when given just one angle measurement along a transversal cutting through parallel lines.
  • Every exterior angle is supplementary to its adjacent interior angle.
  • parallel lines cut by a transversal will yield specific angle relationships that are connected to the concepts of rigid transformations (i.e. vertical angles are reflections over a point. corresponding angles can be viewed as translations).

Vocabulary

  • Transversal
  • Corresponding Angles
  • Vertical Angles
  • Alternate Interior Angles
  • Alternate Interior Angles
  • Supplementary
  • Adjacent
ALSDE LOGO