Difference between revisions of "Angles associated with parallel lines"
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− | + | Two parallel lines are cut by a transversal the angles formed are alternate angles, corresponding angles co-interior angles and vertically opposite angles. | |
− | |||
=== Objectives === | === Objectives === | ||
− | + | To understand corresponding angles are equal | |
− | + | To understand alternate angles are equal | |
− | |||
− | |||
− | |||
− | |||
===Estimated Time=== | ===Estimated Time=== | ||
+ | 30 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
+ | * Digital : Computer, geogebra application, projector. | ||
+ | * Non digital : Worksheet and pencil. | ||
+ | * Geogebra files : “[https://ggbm.at/ghzwdsur Parallellines-2.ggb]” | ||
+ | {{Geogebra|ghzwdsur}} | ||
+ | |||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
− | How to | + | * Move the slider to draw a parallel line with the corresponding angles check box unchecked |
− | + | * How are the two line with each other | |
− | What | + | * 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''' | ||
+ | # A minimum of how many corresponding angles should be equal for any two lines to be parallel. | ||
+ | # How many pairs of corresponding angles are formed when a transversal intersects two parallel lines? | ||
+ | # How many pairs of alternate angles are formed when a transversal intersects two parallel lines? | ||
− | + | [[Category:Lines and Angles]] |
Latest revision as of 13:07, 29 October 2019
Two parallel lines are cut by a transversal the angles formed are alternate angles, corresponding angles co-interior angles and vertically opposite angles.
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
- A minimum of how many corresponding angles should be equal for any two lines to be parallel.
- How many pairs of corresponding angles are formed when a transversal intersects two parallel lines?
- How many pairs of alternate angles are formed when a transversal intersects two parallel lines?