Angles associated with parallel lines

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

To understand corresponding angles are equal

To understand  alternate angles are equal

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles

Materials/ Resources needed

• Digital : Computer, geogebra application, projector.
• Non digital : Worksheet and pencil.
• Geogebra files : “Parallellines-2.ggb”

Download this geogebra file from this link.

Process (How to do the activity)

• Move the slider to draw a parallel line with the corresponding angles check box unchecked
• How are the two line with each other
• What is the line cutting the two line called
• Bring the slider to initial position : check the corresponding angles check box
• Move the slider to show corresponding angles formed for the two lines
• At the point of intersection of the parallel line and transversal : which other angles are equal
• Is the vertically opposite angle equal to the corresponding angle
• What are alternate angles are they equal
• Evaluation at the end of the activity

1. A minimum of how many corresponding angles should be equal for any two lines to be parallel.
2. How many pairs of corresponding angles are formed when a transversal intersects two parallel lines?
3. How many pairs of alternate angles are formed when  a transversal intersects two parallel lines?