Difference between revisions of "Cyclic quadrilateral"
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| − | === | + | ===Objectives=== |
| − | + | ===Estimated Time=== | |
| − | + | 10 minutes | |
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| − | <span></span | + | ===Prerequisites/Instructions, prior preparations, if any=== |
| − | + | Circle and quadrilaterals should have been introduced. | |
| + | |||
| + | ===Materials/ Resources needed=== | ||
| + | Laptop, geogebra file, projector and a pointer. | ||
| + | |||
| + | ===Process (How to do the activity)=== | ||
| + | <span></span><span></span> | ||
# The teacher can recall the concept of a circle, quadrilateral, circumcircle. | # The teacher can recall the concept of a circle, quadrilateral, circumcircle. | ||
# Can explain a cyclic quadrilateral and show the geogebra applet. | # Can explain a cyclic quadrilateral and show the geogebra applet. | ||
# Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles. | # Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles. | ||
| − | + | * Developmental Questions: | |
# What two figures do you see in the figure ? | # What two figures do you see in the figure ? | ||
# Name the vertices of the quadrilateral. | # Name the vertices of the quadrilateral. | ||
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*Question Corner | *Question Corner | ||
# Can all quadrilaterals be cyclic ? | # Can all quadrilaterals be cyclic ? | ||
| − | # What are the necessary conditions for a quadrilateral to be cyclic ? | + | # What are the necessary conditions for a quadrilateral to be cyclic ? <span></span><span></span> |
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| − | <span> </span> | ||
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Revision as of 12:38, 8 May 2019
Objectives
Estimated Time
10 minutes
Prerequisites/Instructions, prior preparations, if any
Circle and quadrilaterals should have been introduced.
Materials/ Resources needed
Laptop, geogebra file, projector and a pointer.
Process (How to do the activity)
- The teacher can recall the concept of a circle, quadrilateral, circumcircle.
- Can explain a cyclic quadrilateral and show the geogebra applet.
- Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles.
- Developmental Questions:
- What two figures do you see in the figure ?
- Name the vertices of the quadrilateral.
- Where are all the 4 vertices situated ?
- Name the opposite interior angles of the quadrilateral.
- What do you observe about them.
- Evaluation:
- Compare the cyclic quadrilateral to circumcircle.
- Question Corner
- Can all quadrilaterals be cyclic ?
- What are the necessary conditions for a quadrilateral to be cyclic ?