Difference between revisions of "Cyclic Quadrilaterals"
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=== Objectives === | === Objectives === | ||
| + | Understanding about cyclic Quadrilaterals | ||
| + | |||
| + | Being able to deduce that a quadrilateral is cyclic if and only if its opposite angles are supplementary | ||
=== Estimated Time === | === Estimated Time === | ||
| + | 30 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
| + | knowledge about vertices, segments, angles, circles, quadrilaterals and its types, supplementary angles | ||
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
Click here to [[:File:Cyclic Quadrilaterals.ggb|open]] the file | Click here to [[:File:Cyclic Quadrilaterals.ggb|open]] the file | ||
| + | |||
| + | Non-digital :paper, pencil, compass, ruler, protractor | ||
=== Process (How to do the activity) === | === Process (How to do the activity) === | ||
{{Geogebra|aujr8556}} | {{Geogebra|aujr8556}} | ||
| + | |||
| + | '''Procedure''': | ||
| + | # Draw a circle with centre O. | ||
| + | # Take any four points A, B, C, D on the circumference of the circles. | ||
| + | # Join AB, BC, CD, DA on the circles | ||
| + | # Identify the quadrilateral on the circle | ||
| + | # What you called for this type of quadrilaterals? | ||
| + | # What is cyclic quadrilaterals? | ||
| + | # Identify and measure the angles in the cyclic quadrilaterals? | ||
| + | # Identify pair of opposite angles in cyclic quadrilaterals? | ||
| + | # What is the sum of opposite angles of a cyclic quadrilateral ?what is your conclusion? | ||
| + | |||
| + | {| class="wikitable" | ||
| + | | rowspan="2" |'''Sl no.''' | ||
| + | | rowspan="2" |'''Quadrilateral''' | ||
| + | | colspan="4" |'''Angles''' | ||
| + | | rowspan="2" |'''Pair of Opposite angles 1''' | ||
| + | | rowspan="2" |'''Pair of opposite angles 2''' | ||
| + | | rowspan="2" |'''Sum of opposite angles1''' | ||
| + | | rowspan="2" |'''Sum of opposite angles 2''' | ||
| + | | rowspan="2" |'''Conclusion''' | ||
| + | |- | ||
| + | |1 | ||
| + | |2 | ||
| + | |3 | ||
| + | |4 | ||
| + | |- | ||
| + | |1 | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | |} | ||
=== Evaluation at the end of the activity === | === Evaluation at the end of the activity === | ||
| + | # If one of the angles of a cyclic quadrilateral is 30°, then what will the value of its opposite angle ? | ||
| + | # Find the value of angle D of a cyclic quadrilateral, if angle B is 60°? | ||
| + | Go back to the page - [[KVS Quadrilaterals|click here]] | ||
| − | + | [[Category:Quadrilaterals]] | |
Latest revision as of 09:00, 18 February 2022
Objectives
Understanding about cyclic Quadrilaterals
Being able to deduce that a quadrilateral is cyclic if and only if its opposite angles are supplementary
Estimated Time
30 minutes
Prerequisites/Instructions, prior preparations, if any
knowledge about vertices, segments, angles, circles, quadrilaterals and its types, supplementary angles
Materials/ Resources needed
Click here to open the file
Non-digital :paper, pencil, compass, ruler, protractor
Process (How to do the activity)
Download this geogebra file from this link.
Procedure:
- Draw a circle with centre O.
- Take any four points A, B, C, D on the circumference of the circles.
- Join AB, BC, CD, DA on the circles
- Identify the quadrilateral on the circle
- What you called for this type of quadrilaterals?
- What is cyclic quadrilaterals?
- Identify and measure the angles in the cyclic quadrilaterals?
- Identify pair of opposite angles in cyclic quadrilaterals?
- What is the sum of opposite angles of a cyclic quadrilateral ?what is your conclusion?
| Sl no. | Quadrilateral | Angles | Pair of Opposite angles 1 | Pair of opposite angles 2 | Sum of opposite angles1 | Sum of opposite angles 2 | Conclusion | |||
| 1 | 2 | 3 | 4 | |||||||
| 1 | ||||||||||
Evaluation at the end of the activity
- If one of the angles of a cyclic quadrilateral is 30°, then what will the value of its opposite angle ?
- Find the value of angle D of a cyclic quadrilateral, if angle B is 60°?
Go back to the page - click here