Chapter
No. 6
Geogebra
Q.1
Match the following
A B
Answer
1.
Regular
polygon
2
2.
Midpoint
or corner
4
3.
Angle
with given size
5
4.
Circle
with centre through point
1
5.
Angle
bisector
3
Q.2
Fill in the blanks:
1. Tool used for measurement of interior angle
is Angle
2. Edit-show/hide objects show and edit
all the created objects.
3.
Construction of objects and graphs of function is shown by Graphics view
4.
Tool used for hiding the axes is select
View/ Click Axes tool.
5.
Angle bisector of and angle can be constructed using segment between two points tool by clicking twice times in succession.
Q.3
Give uses of following tool.
Tool
|
Tool
Name
|
Use
|
Tangent
|
To
draw tangent to a circle from given point or parallel to a given line.
Selecting
a point and a circle produces the two tangents to the circle through that point.
Selecting a line g and a circle produces two tangents to the circle that are
parallel to the line. E.g. The algebra view displays the label and standard
equation of the tangents under dependant objects.
| |
Segment
between two points
|
To
draw a segment between two point A and B.
The line’s direction vector is AB. The algebra view displays the label and
standard equation of the line under dependant objects.
| |
Perpendicular
Bisector
|
To
create a perpendicular bisector of a given segment or of an undefined segment
between two points.
The algebra view displays the label and standard equation of the perpendicular
bisector under dependant objects.
| |
Perpendicular
Lines
|
To
draw a straight line through a point and perpendicular to a given line or
segment.
The algebra view displays the label and standard equation of the perpendicular
line under dependant objects.
| |
Parallel
line
|
To
draw a straight line through a point and
parallel to a given line or segment .g.
The direction of the parallel line is the same as that of the line or segment g.
The algebra view displays the label and standard equation of the parallel line
under dependant
objects.
|
Q.4
Answer the following.
1.
Give names of different parts of the GeoGebra screen.
Ans:-
The
main parts of the GeoGebra Window are 1. Title bar 2. Menu Bar 3. Tool bar 4. Algebra view 5. Graphics view
6. Input bar
2.
What would you use to type the equation for drawing graph?
Ans:-
In
GeoGebra , a graph is drawn by typing its equation in the input field of the input bar and pressing the enter key.
The rules for the algebraic input are as follows:-
1. Only x and y – in lower case-can be used as variables.
2. A linear equation in two variables can be entered in standard form or slope-intercept form.
3. The graph object may be named by typing a lower case letter followed by a colon before its algebraic representation.
4. Multiplication is entered using an asterisk(*) or single space or no space between the factors. For e.g. 2*x or 2 x or 2x . Division is entered using a forward slash(/).
5. An exponent or index is entered using a caret(^) for e.g. ,x2 is entered as x^2.
The rules for the algebraic input are as follows:-
1. Only x and y – in lower case-can be used as variables.
2. A linear equation in two variables can be entered in standard form or slope-intercept form.
3. The graph object may be named by typing a lower case letter followed by a colon before its algebraic representation.
4. Multiplication is entered using an asterisk(*) or single space or no space between the factors. For e.g. 2*x or 2 x or 2x . Division is entered using a forward slash(/).
5. An exponent or index is entered using a caret(^) for e.g. ,x2 is entered as x^2.
3.
Give
two method to find mean, mode and median of given data.
Ans:- To find the mean, median and mode of a list of sample data, the list may be created in two ways in Geogebra- By using Input bar and the Spreadsheet view.
i) Input Bar method : Type the given data in the input bar.
e.g For Hindi Test, marks out of 80 are given. ( 60,65,72,78,50)
Input mean[60,65,72,78,50]
Input median[60,65,72,78,50]
Input mode[60,65,72,78,50]
Ans:- To find the mean, median and mode of a list of sample data, the list may be created in two ways in Geogebra- By using Input bar and the Spreadsheet view.
i) Input Bar method : Type the given data in the input bar.
e.g For Hindi Test, marks out of 80 are given. ( 60,65,72,78,50)
Input mean[60,65,72,78,50]
Input median[60,65,72,78,50]
Input mode[60,65,72,78,50]
Geogebra will list the result in Algebra window.
ii) Spreadsheet view : Click the view menu. Click on Spreadsheet View. Type the data on spreadsheet in Column A.
1 60
2 6
3 72
4 78
5 50
1 60
2 6
3 72
4 78
5 50
Drag the mouse and highlight the data
Click on Create List button from the right-click Context menu. The Algebra View displays the list.
Type the following in the Input bar :
Type the following in the Input bar :
Input
|
mean[L_1]
|
| Input |
median[L_1]
|
| Input |
mode [L_1]
|
,,
