UP:MA19.8.25
Vocabulary
- Transversal
- Corresponding Angles
- Vertical Angles
- Alternate Interior Angles
- Alternate Interior Angles
- Supplementary
- Adjacent
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).
- The sum of the interior angles of a triangle is 180 degrees.
