Line 1:

+

===Introduction: the GeoGebra window===

+

The GeoGebra screen is divided in several sections to represent mathematical objects in different

+

ways. The names of the different parts are shown below.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m43b4d032.gif|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m43b4d032.gif]] ''Main Screen -''		GeoGebra

+

'''Menu''' Bar: It is a '''typical''' windows command menu bar. '''File,''' Edit, View '''etc...''' are called the menu-items.

+

'''Tool Bar: ''' It has all the tools (compass box) to use in the graphic view.

+

'''Active Tool View: '''It tells you which tool is active to use on the graphic view and how to use it.

+

'''Graphic View: It is '''used to draw the geometric figures (also called '''objects''' in GeoGebra). This window can never be closed.

+

'''Algebra View: It '''shows the algebraic expressions. This window can be closed if you are working only on geometry.

+

'''Input Bar: '''This is used to enter more complex mathematical expressions that may not be available on the Tool Bar.

+

'''Commands: It has to be '''used along with the Input Bar, to select from a list of available commands.

+

===The Toolbar===

+

The tool bar is GeoGebra's compass box

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_48e11462.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_48e11462.png]] Each tool has many related tools under it. To see all the related tools, click on the arrow at the bottom right hand corner of each tool as shown below.

+

'''Basic use of tools '''

+

*[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m2e9355f9.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m2e9355f9.png]]Activate 	a tool by clicking on the button showing the corresponding icon.

+

*Open a toolbox by clicking on the lower part of a 	button and select another tool from this toolbox.

+

'''Look of screen'''

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_156af86e.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_156af86e.png]]In GeoGebra only the graphic view cannot be closed. You can change the screen to be best fit for working with your needs: Press '''View''' on the menu Item and ''uncheck ''or ''check'' Algebra View, Axes and Grid based on your needs.

+

===GeoGebra Exercises===

+

#'''Drawing 	points, line segment and rays'''

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m539baf10.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m539baf10.png]][[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m124065c4.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m124065c4.png]]

+

To learn how to use GeoGebra we will use the most commonly used tools when drawing geometrical shapes .

+

#Select 	Point Tool, and click anywhere on the drawing point to plot six 	points A, B, C, D, E, F.

+

#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_6802121.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_6802121.png]]Select 	'''Segment between two points''' tool, click on point A and then 	point B.

+

#Select 	'''Line through two points '''tool, 	click on point C and then point D.

+

#Select 	'''Ray through two points''' 	tool, click on point E and the point F.

+

Can you describe in your own words the difference between a segment, line and ray? Also see the algebra view and observe the equations of the line b and ray c. The line segment a is represented in the algebra view as a = 2.83, where 2.83 is the length of the segment.

+

#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_1eb2590.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_1eb2590.png]]'''Drawing 	a parallel line'''

+

##Select 		Point Tool and click anywhere on the drawing point to plot three 		points A,B, C.

+

##Select 		'''Line through two points '''tool, 		click on point A and then point B.

+

##Select 		'''Parallel Line''' tool, 		click on point C first. Then click on line AB.

+

#

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m779a848b.gif|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m779a848b.gif]]Now use the '''Move''' Tool move points A, B and C. What do you observe? Describe it.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_3c7f10aa.gif|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_3c7f10aa.gif]]Next use the M'''ove Graphics view''' tool and move the drawing pad. Do the two lines ever meet?

+

#'''Drawing 	 polygons'''

+

##Select '''Point''' tool and plot three points A B and C to 		represent the vertices of a triangle.

+

##[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m54b722a1.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m54b722a1.png]]To 		draw a three-sided polygon – triangle, select '''Polygon''' 		tool click on point A, then B and C and again click on point A. '''OR'''

+

#

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_mab953ed.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_mab953ed.png]]Try making a pentagon and hexagon on your own.

+

#'''Rotate 	a ray'''

+

##Draw 		line segment AB of any length'<nowiki/>'' (Segment between two points''' tool''')'<nowiki/>'''''.'''

+

##Select the '''Ray Through two points '''tool, click on point A, 		then select another point C on the drawing pad as shown in the 		figure.

+

##Select the '''Angle '''tool, as seen in the figure and click on 		points B, then A and finally C. You will see an angle measure. 		Click on the Move tool and move point C. Observe the change of 		angle.

+

##Observe the direction (clockwise, anticlockwise) in which you move 		the ray? In which direction does the angle increase and which 		direction does it decrease?

+

#

+

#'''Draw 	triangles'''

+

In this exercise you are going to draw a '''right-angled triangle '''where the base is 5 '''units''' and the hypotenuse is 8 '''units'''.

+

All buttons on the tool bar hide many related tools. You choose the tool you want by pressing the small red arrow in the lower right corner of the button. Choose from the list that shows up.

+

#Start your drawing by using the 	tool '''Segment with Given Length 	from Point'''.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_11696e76.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_11696e76.png]][[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_56714df5.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_56714df5.png]]

+

#Continue by drawing the right 	angle. Do this by drawing a perpendicular line through point '''A'''. 	 Choose the perpendicular line tool, click on point A first and then 	on the line.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m847fc33.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m847fc33.png]][[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m786d5315.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m786d5315.png]]

+

#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_72a9f629.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_72a9f629.png]]To 	mark the third corner of the triangle you use one of the circle 	tools, '''Circle with Centre and 	Radius'''.

+

#Click on the point '''B''' and 	fill in the length of the hypotenuse as radius.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m500b00f8.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m500b00f8.png]]

+

#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m5680d7e4.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m5680d7e4.png]]Choose 	the tool '''Intersect Two Objects''', 	click on the circle and the perpendicular line. The point in the 	intersection is the third corner of the triangle.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m54b722a1.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m54b722a1.png]]

+

#Draw the triangle by choosing 	the '''''Polygon''''' tool. You need to click all the corners 	and then click again on the first corner to complete the triangle.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_2ef6678c.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_2ef6678c.png]]

+

#The perpendicular line and the 	circle, even the points do not need to be visible or seen now, you 	only want to show the triangle. Hide an object by right-clicking 	the object and uncheck '''Show 	Object '''by 	clicking on it.

+

#To 	save your GeoGebra file, select menu item '''File &gt; Save As.'''

+

#Select the Document folder.

+

#Type the filename Right Angled Triangle.

+

#The Files of Type box will automatically have 	Geogebra Files (.ggb).

+

#Click Save. Your file will be saved as '''Right 	Angled Triangle.ggb.'''

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_643eb27c.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_643eb27c.png]]'''To''' open GeoGebra files

+

#Open the GeoGebra applications.

+

#Select menu item 	'''File '''&gt; '''Open'''.

+

#Select the folder 	and the file.

+

#Click Open.

+

[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_7560e0b7.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_7560e0b7.png]]

+

'''Additionally you can try the following''' exercise.

+

#Follow the following steps to construct a 	rectangle ABCD like the figure. Use the '''Move '''tool 	and move the vertices of the rectangle. If you have constructed the 	rectangle correctly, when you move the vertices the figure will 	always be a rectangle. 	Seeing this construction can you write down the properties of a 	rectangle?   '''Steps:'''

+

##Draw a line 		segment AB of any length ('''Segment between two points''' tool).

+

##Draw a 		perpendicular line at point A perpendicular to line segment AB. For 		this in GeoGebra : Select the '''Perpendicular line '''tool. Click 		on point A then select line segment AB.   [[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m7091d368.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m7091d368.png]]

+

##Similarly draw 		another perpendicular line at point B to line segment AB. How will 		you do this in GeoGebra?

+

##Now select the 		'<nowiki/>''Parallel Line''' tool and draw a parallel line to AB at 		any new point''' C'<nowiki/>'''''.'''

+

##Mark the 		intersection points of the parallel and perpendicular lines as D 		and E using the '''Intersect two objects '''tool.

+

##ADEB the 		rectangle you constructed.

+

##To measure the 		sides, use the '''Distance or Length''' tool and click on points 		AD, then DE, then EB and finally AB.

+

##Select the '''move''' 		tool and move points A or B. What do you observe, write down your 		observations.

+

##Now use the 		polygon tool and complete your rectangle. Also hide the 		construction. How will you do this?

Geogebra - Revision history

Anusha sharma at 18:02, 3 October 2021

Anusha sharma: Created blank page

← Older revision	Revision as of 18:02, 3 October 2021
Line 1:	Line 1:
	+	===Introduction: the GeoGebra window===
	+	The GeoGebra screen is divided in several sections to represent mathematical objects in different

	+	ways. The names of the different parts are shown below.
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m43b4d032.gif\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m43b4d032.gif]] ''Main Screen -'' GeoGebra
	+
	+	'''Menu''' Bar: It is a '''typical''' windows command menu bar. '''File,''' Edit, View '''etc...''' are called the menu-items.
	+
	+	'''Tool Bar: ''' It has all the tools (compass box) to use in the graphic view.
	+
	+	'''Active Tool View: '''It tells you which tool is active to use on the graphic view and how to use it.
	+
	+	'''Graphic View: It is '''used to draw the geometric figures (also called '''objects''' in GeoGebra). This window can never be closed.
	+
	+	'''Algebra View: It '''shows the algebraic expressions. This window can be closed if you are working only on geometry.
	+
	+	'''Input Bar: '''This is used to enter more complex mathematical expressions that may not be available on the Tool Bar.
	+
	+	'''Commands: It has to be '''used along with the Input Bar, to select from a list of available commands.
	+
	+	===The Toolbar===
	+	The tool bar is GeoGebra's compass box
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_48e11462.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_48e11462.png]] Each tool has many related tools under it. To see all the related tools, click on the arrow at the bottom right hand corner of each tool as shown below.
	+
	+	'''Basic use of tools '''
	+
	+	*[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m2e9355f9.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m2e9355f9.png]]Activate a tool by clicking on the button showing the corresponding icon.
	+	*Open a toolbox by clicking on the lower part of a button and select another tool from this toolbox.
	+
	+	'''Look of screen'''
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_156af86e.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_156af86e.png]]In GeoGebra only the graphic view cannot be closed. You can change the screen to be best fit for working with your needs: Press '''View''' on the menu Item and ''uncheck ''or ''check'' Algebra View, Axes and Grid based on your needs.
	+
	+	===GeoGebra Exercises===
	+	#'''Drawing points, line segment and rays'''
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m539baf10.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m539baf10.png]][[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m124065c4.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m124065c4.png]]
	+
	+	To learn how to use GeoGebra we will use the most commonly used tools when drawing geometrical shapes .
	+
	+	#Select Point Tool, and click anywhere on the drawing point to plot six points A, B, C, D, E, F.
	+	#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_6802121.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_6802121.png]]Select '''Segment between two points''' tool, click on point A and then point B.
	+	#Select '''Line through two points '''tool, click on point C and then point D.
	+	#Select '''Ray through two points''' tool, click on point E and the point F.
	+	Can you describe in your own words the difference between a segment, line and ray? Also see the algebra view and observe the equations of the line b and ray c. The line segment a is represented in the algebra view as a = 2.83, where 2.83 is the length of the segment.
	+
	+	#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_1eb2590.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_1eb2590.png]]'''Drawing a parallel line'''
	+	##Select Point Tool and click anywhere on the drawing point to plot three points A,B, C.
	+	##Select '''Line through two points '''tool, click on point A and then point B.
	+	##Select '''Parallel Line''' tool, click on point C first. Then click on line AB.
	+	#
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m779a848b.gif\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m779a848b.gif]]Now use the '''Move''' Tool move points A, B and C. What do you observe? Describe it.
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_3c7f10aa.gif\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_3c7f10aa.gif]]Next use the M'''ove Graphics view''' tool and move the drawing pad. Do the two lines ever meet?
	+
	+	#'''Drawing polygons'''
	+	##Select '''Point''' tool and plot three points A B and C to represent the vertices of a triangle.
	+	##[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m54b722a1.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m54b722a1.png]]To draw a three-sided polygon – triangle, select '''Polygon''' tool click on point A, then B and C and again click on point A. '''OR'''
	+	#
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_mab953ed.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_mab953ed.png]]Try making a pentagon and hexagon on your own.
	+
	+	#'''Rotate a ray'''
	+	##Draw line segment AB of any length'<nowiki/>'' (Segment between two points''' tool''')'<nowiki/>'''''.'''
	+	##Select the '''Ray Through two points '''tool, click on point A, then select another point C on the drawing pad as shown in the figure.
	+	##Select the '''Angle '''tool, as seen in the figure and click on points B, then A and finally C. You will see an angle measure. Click on the Move tool and move point C. Observe the change of angle.
	+	##Observe the direction (clockwise, anticlockwise) in which you move the ray? In which direction does the angle increase and which direction does it decrease?
	+	#
	+	#'''Draw triangles'''
	+	In this exercise you are going to draw a '''right-angled triangle '''where the base is 5 '''units''' and the hypotenuse is 8 '''units'''.
	+
	+	All buttons on the tool bar hide many related tools. You choose the tool you want by pressing the small red arrow in the lower right corner of the button. Choose from the list that shows up.
	+
	+	#Start your drawing by using the tool '''Segment with Given Length from Point'''.
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_11696e76.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_11696e76.png]][[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_56714df5.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_56714df5.png]]
	+
	+	#Continue by drawing the right angle. Do this by drawing a perpendicular line through point '''A'''. Choose the perpendicular line tool, click on point A first and then on the line.
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m847fc33.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m847fc33.png]][[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m786d5315.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m786d5315.png]]
	+
	+	#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_72a9f629.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_72a9f629.png]]To mark the third corner of the triangle you use one of the circle tools, '''Circle with Centre and Radius'''.
	+	#Click on the point '''B''' and fill in the length of the hypotenuse as radius.
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m500b00f8.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m500b00f8.png]]
	+
	+	#[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m5680d7e4.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m5680d7e4.png]]Choose the tool '''Intersect Two Objects''', click on the circle and the perpendicular line. The point in the intersection is the third corner of the triangle.
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m54b722a1.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m54b722a1.png]]
	+
	+	#Draw the triangle by choosing the '''''Polygon''''' tool. You need to click all the corners and then click again on the first corner to complete the triangle.
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_2ef6678c.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_2ef6678c.png]]
	+
	+	#The perpendicular line and the circle, even the points do not need to be visible or seen now, you only want to show the triangle. Hide an object by right-clicking the object and uncheck '''Show Object '''by clicking on it.
	+
	+	#To save your GeoGebra file, select menu item '''File > Save As.'''
	+	#Select the Document folder.
	+	#Type the filename Right Angled Triangle.
	+	#The Files of Type box will automatically have Geogebra Files (.ggb).
	+	#Click Save. Your file will be saved as '''Right Angled Triangle.ggb.'''
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_643eb27c.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_643eb27c.png]]'''To''' open GeoGebra files
	+
	+	#Open the GeoGebra applications.
	+	#Select menu item '''File '''> '''Open'''.
	+	#Select the folder and the file.
	+	#Click Open.
	+
	+	[[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_7560e0b7.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_7560e0b7.png]]
	+
	+	'''Additionally you can try the following''' exercise.
	+
	+	#Follow the following steps to construct a rectangle ABCD like the figure. Use the '''Move '''tool and move the vertices of the rectangle. If you have constructed the rectangle correctly, when you move the vertices the figure will always be a rectangle. Seeing this construction can you write down the properties of a rectangle? '''Steps:'''
	+	##Draw a line segment AB of any length ('''Segment between two points''' tool).
	+	##Draw a perpendicular line at point A perpendicular to line segment AB. For this in GeoGebra : Select the '''Perpendicular line '''tool. Click on point A then select line segment AB. [[Image:ICT%20Phase%203%20%20-%20Resource%20Book%208th%20Standard%20ENGLISH%20-%2070%20Pages_html_m7091d368.png\|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:ICT_Phase_3_-_Resource_Book_8th_Standard_ENGLISH_-_70_Pages_html_m7091d368.png]]
	+	##Similarly draw another perpendicular line at point B to line segment AB. How will you do this in GeoGebra?
	+	##Now select the '<nowiki/>''Parallel Line''' tool and draw a parallel line to AB at any new point''' C'<nowiki/>'''''.'''
	+	##Mark the intersection points of the parallel and perpendicular lines as D and E using the '''Intersect two objects '''tool.
	+	##ADEB the rectangle you constructed.
	+	##To measure the sides, use the '''Distance or Length''' tool and click on points AD, then DE, then EB and finally AB.
	+	##Select the '''move''' tool and move points A or B. What do you observe, write down your observations.
	+	##Now use the polygon tool and complete your rectangle. Also hide the construction. How will you do this?