Unit 1 Lesson 4 Vertical Angles Exploration


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Unit 1 Lesson 4 Vertical Angles Exploration


This is an element of your Unit 1 Project and should be added to your Unit 1 Project portfolio after you answer the feedback on the assignment provided by your teacher.

Essential Question:


  • How can we use vertical angles to help build structures?

Objectives:


  • Write a theorem that can be used to solve problems involving vertical angles using the SPORT method.

  • Solve problems involving vertical angles

Materials:



Part I: Specific Cases & Examples


Open the vertical angles GeoGebra applet on your laptop or iPad. Move the points D, E, and C around and notice how it changes the measures of all four angles. Record the measurements of the angles in 5 cases when it shows "Vertical Angles" on the screen and 5 cases where it does not show "Vertical Angles" on the screen. Include one screenshot of when you have vertical angles shown.

Table 1: Showing "Vertical Angles" 5 Cases

Case #









1












2












3












4












5















Table 2: NOT Showing "Vertical Angles" 5 Cases

Case #









1












2












3












4












5















One Screenshot when Vertical Angles is shown:





  1. In Table 1 above, name the two pairs of vertical angles:


  1. In Table 1 above, name the angles that were adjacent, linear pairs:




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