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Parallel and Perpendicular Lines

Source: Manhattan Street Grid - franckreporter/E+/Getty Image

Civil Engineering and Construction

Sources: Patio Bricks - sorsillo/iStock/Getty Images; Railway Tracks - mycola/iStock/Getty Images;
Brick Columns - Magdevski/iStock/Getty Images; Cinder Blocks - Sergey
Dogadin/iStock/Getty Images; Worker With Spirit Level - sturti/iStock/Getty Images

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Lesson Goals

  • Investigate the properties of slope for both parallel and perpendicular lines.
  • Using the properties of slope, solve problems involving parallel and perpendicular lines.

Try This

There is a community called "Little Italy" in a large city. The boundary of their community has it's vertices located as follows: \(A(3,8)\), \(B(4,4)\), \(C(14,6.5)\), and \(D(15,11)\). Using the slopes of the streets (line segments), determine if this community is shaped like a rectangle, a parallelogram, or a trapezoid.