Unit 1 Lesson 4 Vertical Angles Exploration

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:

• 
  GeoGebra vertical angles applet
  
• 
  Partner
  
• 
  iPad
  

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:
   

2. 
   In Table 1 above, name the angles that were adjacent, linear pairs: