Vertically opposite angles
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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)
- 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).
- Students to identify number of angles formed when the two lines cross each other
- Name the all the angles formed around the point
- Do the angles formed have a relation
- Identify angles on AB: what do the form together
- Identify angles on CD: what do they form together
- What is observed about these angle pairs on the two lines
- Can you find other pair of angles on line AB and CD
- What is common about these angles
- 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
- What is the angle measure of the sum of any two adjacent angles when two lines intersect?
- What is the total measure of all the angles formed when two lines intersect?