Nancyvarkey at 11:17, 13 August 2018

2018-08-13T11:17:00Z

Nancyvarkey at 02:32, 12 July 2018

2018-07-12T02:32:16Z

Madhurig: Created page with "{|border=1 ||'''Visual Cue''' ||'''Narration''' |- ||'''Slide Number 1''' '''Title Slide''' ||Welcome to this tutorial on '''Properties of Quadrilaterals '''in '''GeoGebr..."

2018-07-06T11:34:14Z

Created page with "{|border=1 ||'''Visual Cue''' ||'''Narration''' |- ||'''Slide Number 1''' '''Title Slide''' ||Welcome to this tutorial on '''Properties of Quadrilaterals '''in '''GeoGebr..."

New page

{|border=1
||'''Visual Cue'''
||'''Narration'''

|-
||'''Slide Number 1'''

'''Title Slide'''
||Welcome to this tutorial on '''Properties of Quadrilaterals '''in '''GeoGebra.'''

|-
||'''Slide Number 2'''

'''Learning Objectives'''
||In this tutorial we will learn,

* To construct quadrilaterals and

* understand the properties of quadrilaterals using '''GeoGebra'''.

|-
||'''Slide Number 3'''

'''System Requirement'''
||Here I am using:

* '''Ubuntu Linux OS''', version 14.04

* '''GeoGebra '''version 5.0.438.0-d

|-
||'''Slide Number 4'''

'''Pre requisites'''

'''www.spoken-tutorial.org'''.
||To follow this tutorial, learner should be familiar with '''GeoGebra''' interface.

If not for relevant '''GeoGebra '''tutorials, please visit our website.

|-
||
||Let us begin our demonstration.

|-
||Cursor on the '''Graphics view'''.
||I have already opened the '''GeoGebra '''interface.

For this tutorial, I will first uncheck the '''Axes'''.

|-
||Right-click on '''Graphics view'''.

'''Graphics''' menu opens.

Click on '''Axes''' check-box.
||To do that, right-click on '''Graphics view'''.

The '''Graphics''' menu opens.

Click on the '''Axes''' check-box.

|-
||Cursor on '''GeoGebra''' interface.
||I will increase the font size for better view.

|-
||Click on the options menu >> click on font size >> on '''18 pt''' radio button.
||Go to '''Options''' menu, navigate to '''Font Size'''.

From the sub-menu, select '''18 pt''' radio button.

|-
||Cursor on '''GeoGebra''' interface.
||Now let us construct a parallelogram.

|-
||Click on '''Segment with Given Length''' tool.

Click on '''Graphics view'''.
||Click on the '''Segment with Given Length''' tool.

Click on the ''' Graphics view'''.

|-
||Point to the text box.

Type 5 in '''Length''' field >> click OK.

Point to segment '''f'''.
||The '''Segment with Given Length''' text box opens.

In the '''Length field''', type 5 and click on '''OK''' button.

Segment '''AB''' with length 5 cm and labelled as '''f''', is drawn.

|-
||Point to the point on the '''Graphics view'''.
||Let us delete the point that was drawn mistakenly.

This point may not be required for the actual drawing.

|-
||Right-click on the point.

From sub-menu >> select '''Delete''' option.
||Right-click on the point.

From the sub-menu, select the '''Delete '''option.

|-
||click on Parallel line tool>> click on '''AB''' >> point '''C'''.

Click on line '''AB'''.
||Next click on the '''Parallel Line''' tool.

Click below line '''AB''' to draw point '''C '''then click on line '''AB'''.

|-
||Point to the parallel line.
||A parallel line to segment '''AB''' passing through '''C''', is drawn.

|-
||Click on '''Segment''' tool >> click on '''A''' >> Click on '''C'''.
||Using '''Segment''' tool, join the points '''A''' and '''C'''.

|-
||click on '''Parallel Line''' tool >> click on segment '''AC''' >> point '''B'''.
||Click again on '''Parallel Line''' tool, click on segment '''AC''' and then click on point '''B'''.

|-
||Point to the Parallel line and intersection point.
||Two parallel lines '''g''' and '''i''' intersect at a point.

|-
||Click on '''Intersect''' tool>> click on the point of intersection as '''D'''.
||Click on '''Intersect''' tool and click on the point of intersection as '''D'''.

|-
||Click on '''Segment''' tool >> click points '''C''' and '''D''' >> '''D''' and '''B'''.
||Now using the '''Segment''' tool, join the points, '''C''', '''D''' and '''D''', '''B'''.

|-
||Point to the Parallelogram.
||Parallelogram''' ABDC''' is now complete.

|-
||Cursor on Graphics view
||We will hide the lines '''g''' and '''i'''.

So that we can see the parallelogram clearly.
|-
||Right-click on line g and click on '''Show Object''' check-box.

Right-click on line '''i''' >> click on '''Show Object''' check-box.
||Right-click on line '''g''', from the submenu click on '''Show Object''' check-box.

Similarly I will hide the line '''i'''.

|-
||Point to the parallelogram '''ABDC'''.
||Now we will explore the properties of parallelogram '''ABDC'''.

|-
||Point to the line segments '''f''', '''j''', '''h''', '''k''' in Algebra view.

Point to lines in '''Graphics view'''.
||From the '''Algebra view''', we can find that,

* segments '''f''' and '''j''' are equal and
* segments '''h''' and '''k '''are also equal.

Observe that, the opposite sides are parallel and equal.

|-
||Cursor on the parallelogram.
||Let us now measure the angles of the parallelogram.

|-
||Click on '''Angle''' tool.

Click on '''ACD''', '''CAB''', '''ABD''', '''BDC'''.
||Click on '''Angle''' tool.

Click on the points '''DCA''', '''CAB''', '''ABD''', '''BDC'''.

|-
||Point to the sides and angle in the parallelogram.
||Observe that the opposite angles are equal.

|-
||Cursor on the parallelogram.
||Now we will convert the parallelogram '''ABDC''' to a rectangle.

|-
||Click on '''Move''' tool >> click and drag point '''C'''.

Click and drag labels.

Point to all the angles of the rectangle '''ABDC'''.
||Click on '''Move''' tool.

Click and drag point '''C''' until you see 90 degrees angle.

Drag the labels to see them clearly.

Observe that all the angles change to 90 degrees.

|-
||Cursor on '''GeoGebra''' interface.
||Now let us learn to construct a kite.

|-
||Click on '''File''' >> Select '''New Window'''.
||For this I will open a new '''GeoGebra''' window.

Click on '''File''' and select '''New Window'''.
|-
||Cursor on '''Graphics view'''.
||To contruct a kite, we will draw two circles that intersect at two points.

|-
||Click on '''Circle with Centre through point''' tool.
||Click on '''Circle with Centre through point''' tool.

|-
||Click on the''' Graphics view. '''
||Then click on '''Graphics view.'''

|-
||Cursor on point''' A'''
||Point''' A''' is drawn, this is the centre of the circle.

|-
||Click again at a distance.
||Click again at some distance from point '''A'''.

|-
||Cursor on point '''B'''.
||Point '''B''' appears.

This completes the circle '''c'''.

|-
||Click on '''Circle with Centre through point''' tool >> '''Graphics view'''.

Cursor on point''' C >> '''Click again at a distance >> Cursor on point''' D.'''
||Similarly, we will draw another circle with centre '''C''' and passing through point '''D'''.

|-
||Point to the two points of intersection
||Notice that the two circles '''c''' and '''d''' intersect at two points.
|-
||Click on '''Intersect''' tool and click on the circles '''c''' and '''d'''.
||Click on '''Intersect''' tool and click on the circles '''c''' and '''d'''.

|-
||Cursor on the points of intersection.
||'''E''' and '''F''' are the intersection points of the circles.

|-
||Point to the circles.
||Now let us draw the required quadrilateral using these circles.

|-
||Click on '''Polygon''' tool.
||Click on '''Polygon''' tool.

|-
||Click on the points '''A''', '''E''', '''C''', '''F''' and '''A''' again.
||Click on the points '''A, E, C, F '''and '''A''' again to complete the quadrilateral.

|-
||Point to the Algebra view.
||Notice in the '''Algebra View''' that two pairs of adjacent sides are equal.

The drawn quadrilateral is a kite.

|-
||'''Slide Number 5'''

'''Assignment'''
||Pause the tutorial and do this assignment.

1. Measure the angles of the kite and check what happens.

2. Draw diagonals and locate the intersection point of the diagonals.

3. Measure the angle at the intersection of the diagonals.

4. Check if diagonals bisect each other.

|-
||Show the completed assignment.
||Your completed assignment should look like this.

|-
||press Ctrl + A >> '''Delete''' key.
||To delete all the objects, press '''Ctrl''' + '''A''' and then press '''Delete''' key on the Key board.

|-
||Cursor on '''Graphics''' view.
||Now let us construct a rhombus.

|-
||Click on '''Segment with Given Length '''tool.

Click on '''Graphics view.'''
||Click on '''Segment with Given Length '''tool.

Click on the '''Graphics view.'''

|-
||Point to the text box.
||'''Segment with Given Length''' text box opens.

|-
||Type '''Length''' as 4 >> click OK.

Point to the segment AB.
||In the '''Length '''field''', type 4 and click on '''OK '''button.

'''A''' segment with 4 units is drawn.

|-
||Cursor on '''Graphics''' view.
||Let us construct a circle with center '''A''' and passing through point '''B'''.

|-
||Click on '''Circle with Centre through Point''' tool.

Click on point '''A''' and '''B'''.

Point to the circle '''c'''.
||Click on '''Circle with Centre through Point''' tool.

Click on points '''A''' and '''B''' to complete the circle.

|-
||Click on '''Point '''tool >> click on circumference of circle.
||Using '''Point''' tool, mark a point '''C''' on the circumference of the circle.

|-
||Click on '''Segment''' tool >> click on '''A''' >>click on '''C'''.
||Click on '''Segment''' tool and then click on points '''A''' and '''C'''.

This will join the points '''A''' and '''C.'''

|-
||Select '''Parallel Line''' tool from

toolbar >> click on point '''C''' >> segment '''AB'''.
||Click on the '''Parallel line''' tool and click on the line '''AB''' and then on point '''C'''.

We see a line parallel to '''AB''' passing through '''C'''.

|-
||Select ''' Parallel Line''' tool from toolbar.

Click on point '''B''' >> segment '''AC'''.
||Similarly, draw a parallel line to segment '''AC ''' passing through point '''B'''.
|-
||Point to the point of intersection.

Click on '''Intersect''' tool >> click on point of intersection.
||Notice that the lines '''i''' and '''h''' intersect at a point.

Using '''Intersect''' tool, we will mark the point of intersection as '''D'''.

|-
||Click on Segment tool>> join points.

'''A''', '''D''' and '''B''', '''C'''.
||Using the '''Segment''' tool, join the points '''A''', '''D''' and '''B''', '''C'''.

|-
||Point to the quadrilateral and its diagonals.
||A quadrilateral '''ABDC''' with diagonals '''AD''' and '''BC''' is drawn.
|-
||Point to the intersection point.

Click on '''Intersect''' tool >> click on intersection point.
||The diagonals intersect at a point.

Using '''Intersect''' tool, mark the point of intersection as '''E'''.

|-
||'''Slide Number 6'''

'''Assignment'''
||Pause the tutorial and do this assignment.

1. Check if the diagonals of the quadrilateral '''ABDC '''bisect each other.

2. Also check if the diagonals are perpendicular bisectors.

|-
||Show the completed assignment.
||Your completed assignment should look like this.

|-
||Cursor on Graphics view.
||Now let us construct a cyclic quadrilateral.

|-
||
||For this, let us open '''Graphics 2 view'''.

|-
||Click on View menu >> click on check-box '''Graphics 2'''.
||Go to '''View''' menu and select '''Graphics 2''' check box.

'''Graphics 2 view''' window opens, next to existing '''Graphics view'''.

|-
||Drag border of the existing Graphics view.
||Drag the border of the existing '''Graphics view''', to see '''Graphics 2 view'''.

|-
||Select '''Regular Polygon''' tool >> click on any two points on Graphics view.
||Now select '''Regular Polygon''' tool.

Click twice on '''Graphics 2 view'''.

|-
||Point to the text box and value.

Click on OK.
||The '''Regular Polygon''' text box opens with default value of 4.

Click on the '''OK '''button.

|-
||Point to the square.
||A square '''FGHI''' is drawn in '''Graphics 2 view'''.

|-
||Point to '''FG''' and '''GH'''.
||Let's construct perpendicular bisectors to segments '''FG''' and '''GH'''.

|-
||Select '''Perpendicular bisector''' tool from the tool bar.

Click on the point '''F''', '''G''' >> click '''G''', '''H'''.
||Select the '''Perpendicular Bisector''' tool from the tool bar.

Click on the points '''F''', '''G'''and '''G''', '''H'''.

|-
||Point to the intersection point.
||Observe that the perpendicular bisectors intersect at a point.

|-
||Click on '''Intersect''' tool >> click on point of intersection of bisectors.
||Using '''Intersect '''tool we will mark this point as '''J'''.

|-
||Point to '''J''' and '''F'''.
||Let's now construct a circle with centre as '''J''' and passing through '''F'''.

|-
||Click on '''Circle with center through Point''' tool >> click on point '''J''' >> click on point '''F'''.
||Click on the '''Circle with center through Point '''tool, click on point '''J'''.

Then click on point '''F'''.

|-
||Point to the cyclic quadrilateral '''FGHI'''.
||A cyclic quadrilateral '''FGHI '''is drawn.

|-
||Cursor on the quadrilateral '''FGHI'''.
||Now we will display its area.

|-
||Click on '''Area''' tool from the '''Angle''' tool drop down.

Click on the quadrilateral '''FGHI'''.

Point to the area value.
||Click on the '''Area''' tool from the '''Angle''' tool drop down.

Then click on the quadrilateral '''FGHI '''to display its area.

|-
||'''Slide Number 7'''

'''Assignment'''
||As an assignment,

* Draw a trapezium

* Measure its perimeter and area.
|-
||Show the completed assignment.
||Your completed assignment should look like this.

|-
||
||Let us summarise what we have learnt.

|-
||'''Slide Number 8'''

'''Summary'''
||In this tutorial we will learnt,

* To construct quadrilaterals

* and understand the properties of quadrilaterals using '''GeoGebra.'''
|-
||'''Slide Number 9'''

'''About Spoken Tutorial project'''
||The video at the following link summarises the Spoken Tutorial project.

Please download and watch it.

|-
||'''Slide Number 10'''

'''Spoken Tutorial workshops'''
||The '''Spoken Tutorial Project '''team conducts workshops and

* gives certificates.

For more details, please write to us.

|-
||'''Slide Number 11'''

Forum for specific questions:

Do you have questions in THIS Spoken Tutorial?

* Please visit this site

* Choose the minute and second where you have the question

* Explain your question briefly

* Someone from our team will answer them
||Please post your questions in this forum.

|-
||'''Slide Number 12'''

'''Acknowledgement'''
||Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India.

More information on this mission is available at this link.

|-
||
||This is Madhuri Ganapathi from, IIT Bombay signing off.

Thank you for watching.
|-

|}

@@ Line 498: / Line 498: @@
 Point to the area value.
-||Click on the '''Area''' tool from the '''Angle''' tool drop down.
+||From the '''Angle''' tool drop down, click on the '''Area''' tool.
 Then click on the quadrilateral '''FGHI '''to display its area.

@@ Line 152: / Line 152: @@
 |-
 ||Cursor on Graphics view
-||We will hide the lines '''g''' and '''i'''.
+||We will hide the lines '''g''' and '''i''', so that we can see the parallelogram clearly.
-−
-−
-So that we can see the parallelogram clearly.
 |-
 ||Right-click on line g and click on '''Show Object''' check-box.
@@ Line 215: / Line 212: @@
-Observe that all the angles change to 90 degrees.
+Observe that all the angles changed to 90 degrees.
 |-
@@ Line 330: / Line 327: @@
 Point to the segment AB.
-||In the '''Length '''field''', type 4 and click on '''OK '''button.
+||In the '''Length '''field, type 4 and click on '''OK '''button.
-'''A''' segment with 4 units is drawn.
+A segment with 4 units is drawn.
 |-
@@ Line 444: / Line 441: @@
 Click on OK.
-||The '''Regular Polygon''' text box opens with default value of 4.
+||The '''Regular Polygon''' text box opens with default value 4.
@@ Line 526: / Line 523: @@
 '''Summary'''
-||In this tutorial we will learnt,
+||In this tutorial we have learnt,
 * To construct quadrilaterals
@@ Line 543: / Line 540: @@
 '''Spoken Tutorial workshops'''
-||The '''Spoken Tutorial Project '''team conducts workshops and
+||The '''Spoken Tutorial Project '''team conducts workshops using spoken tutorials and gives certificates.
-−
-* gives certificates.
 For more details, please write to us.

GeoGebra-5.04/C2/Properties-of-Quadrilaterals/English - Revision history

Nancyvarkey at 11:17, 13 August 2018

Nancyvarkey at 02:32, 12 July 2018

Madhurig: Created page with "{|border=1 ||'''Visual Cue''' ||'''Narration''' |- ||'''Slide Number 1''' '''Title Slide''' ||Welcome to this tutorial on '''Properties of Quadrilaterals '''in '''GeoGebr..."