Watch the video for an introduction to the lesson.
Use the embedded GeoGebra applet to explore the relationship between parallel lines and related angles.
Note: Recall that a transversal is a line that intersects 2 other lines at 2 distinct points.
Note: The dashed brown line is a transversal that intersects 2 parallel lines.
Tick each of the boxes, one at a time, to explore corresponding, alternate and co-interior angles.
Drag the green points around to change the red and/or blue angle measures that appear.
Next, use the applet to help you answer the questions in the interactive.
Click on the image to open the Angles Inside page on the NRICH Maths website in a new tab.
Using your parallel line knowledge, as well as previous knowledge and understanding of angles, see if you can prove Alison’s statement.
Use the interactive to explore and then answer the questions in your exercise book or folder.
Draw diagrams of a parallelogram and a trapezium to answer those questions.
Show all your working.
Complete the Parallel Base activity on the NRICH Maths website.
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.