Vertically opposite angles

Name of the activity

Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)

Objectives

Introduce children to concept of supplementary angles

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles

Materials/ Resources needed

• Digital : Computer, geogebra application, projector.
• Non digital : Worksheet and pencil.
• Geogebra files : “Vertically opposite angles.ggb”

Download this geogebra file from this link.

Process (How to do the activity)

1. Prior hands on activity (optional – children can use 2 strips newspaper or sticks to form vertically opposite angles and note the changes in the angles with change in the position of the strips or sticks).
2. Students to identify number of angles formed when the two lines cross each other
3. Name the all the angles formed around the point
4. Do the angles formed have a relation
5. Identify angles on AB: what do the form together
6. Identify angles on CD: what do they form together
7. What is observed about these angle pairs on the two lines
8. Can you find other pair of angles on line AB and CD
9. What is common about these angles
10. Record the values of the angles formed and their sum in the worksheet

Sl No.	Value ofslider α	Angles on line AB		∠DOA+ ∠BOD	Angles on line CD		∠ DOA+∠AOC	Common angle the lines share
		∠ DOA	∠ BOD		∠ DOA	∠ AOC
.

• Evaluation at the end of the activity

1. What is the angle measure of the sum of any two adjacent angles when two lines intersect?
2. What is the total measure of all the angles formed when two lines intersect?