Families of Parallel Lines and the Circumference of the Earth

New York State Common Core Math Geometry, Module 2, Lesson 19

Worksheets for Geometry

Student Outcomes

• Students understand that parallel lines cut transversals into proportional segments. They use ratios between corresponding line segments in different transversals and ratios within line segments on the same transversal.
• Students understand Eratosthenes’ method for measuring the earth and solve related problems.

Families of Parallel Lines and the Circumference of the Earth

Classwork

Opening Exercise

Show 𝑥: 𝑦 = 𝑥′: 𝑦′ is equivalent to 𝑥: 𝑥′ = 𝑦: 𝑦′.

Exercises 1–2

Lines that appear to be parallel are in fact parallel.

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