MA19.7A.38

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

Aligned Learning Resources

Angles, Angles, and More Angles

Design by Adaptive Theme