Vertically opposite angles

Author: Ben Gordon

This type of activity is known as Demonstration. Please read the guidance notes here, where you will find useful information for running these types of activities with your students.

1. Demonstration

  • I display the Geogebra page in silence with all information revealed
  • I ask students to pause and reflect on what the page shows
  • I then hide one of the angles in the second diagram, and move line segment AB
  • I ask students to reflect on what has changed and predict what will happen when I reveal the size of the angle
  • I continue the process, always changing one thing from the original diagram, and always giving students an opportunity to pause, reflect and predict
  • At the end I ask students to discuss the rule with their partners, and then we have a class discussion

2. Possible variations

  • Vary the size of the one angle
  • Vary the length of the line segment
  • Vary the orientation
  • Vary the angle that is hidden

Click here to open sheet full screen in Geogebra