Constructing and Exploring Triangles with GeoGebra

Recommend Documents

5 long pipe cleaners (at least 30cm long). 8 plastic drinking straws (at least 18cm long and with no bend). 2 pairs of scissors. Cut one straw to make the lengths ...

Triangles, Triangles and, Yes, More Triangles:

Several important general theorems of Euclidean Ramsey. Theory are ... Introduction. In 1928, Frank Plumpton Ramsey published his first and only paper, "On a ...

Universality of graphs with few triangles and anti-triangles

Jan 22, 2014 - CO] 22 Jan 2014. UNIVERSALITY OF GRAPHS WITH FEW TRIANGLES AND. ANTI-TRIANGLES. DAN HEFETZ AND MYKHAYLO TYOMKYN.

Interactive Maths with GeoGebra - CiteSeerX

mathematics, available free on web in 45 languages. GeoGebra enables ... users to create dynamic mathematical objects such as ..... [10] GeoGebra webpage.

GeoGebra Tools with Proof Capabilities

Mar 3, 2016 - facts (for example, if three dependent points in a given construction are always ... actions is irrelevant and no additional keyboard input is required. .... attempting to prove that the internal bisectors of a triangle are concurrent:.

Linking Geometry and Algebra with GeoGebra - NCETM

free software package, with Helen Foster, Neil Gulliver, Peter Ingleby, George Petroudis, Alain. Plockyn, James ... This freeware, downloadable from www.geogebra.at, is so named ... At one level, you can use GeoGebra as a dynamic geometry ... I was v

Triangles with a Twist

When a straight line is created click on the SAVE icon > click on Patterns > create ... When starting a new quilt, open the Basting Line as a pantograph.

Constructing and Exploring Composite Items - CiteSeerX

The large supply of online products calls for sophis- ticated techniques to ... presented with both the iPhone and a package of other items that match well with ...... of multiple-item packages, as long as there is no overlapping item in either pair.

Constructing and Exploring Composite Items - Google Sites

an iPhone (i.e., the central item) with a price budget can be presented with ... laptop or a travel destination that mus

Constructing and Exploring Composite Items - CiteSeerX

Web users purchase a variety of items ranging from books to elec- tronics. ... propose to build composite items which associate a central ... an iPhone (i.e., the central item) with a price budget can be ...... choosing the next best package.

Breguet's Spiral with GeoGebra

Breguet's Spiral with GeoGebra. Annarosa Serpe. Department of Mathematics and Informatics, University of Calabria - Italy [email protected].

Transforming Linear Algebra with GeoGebra

Jan 17, 2014 ... ... TUES Grant 1141045: Transforming Linear Algebra Education with GeoGebra ... Deepen understanding of linear algebra concepts. • Actively ...

Designing evacuation routes with GeoGebra

Ãngela Moreno. Occupational Safety and HealthTechnician. SPM. Spain. ... the case of buildings like schools, hospitals or hotels, all these routes have to be clearly .... Toolbar of GeoGebra and we create the list L of edges that will be used as ...

Exploring New Methods of Constructing Houses with Sustainable ...

materials and techniques were implemented in building houses in the .... a 10' x 20' house with CEB in less than two weeks and in much cheaper price, high.

Solving Polynomial Inequalities with GeoGebra - About Open ...

Feb 1, 2018 - Analytical Arts by Thomas Harriot (1560â1621), published in 1631. (â¦) Harriot states the meaning for > and < quite clearly: Signum majoritatus ...

Rendering Worlds With Two Triangles

domain (the input to the distance function). ... Rendering with distance fields :: Domain repetition ... VERY CHEAP, eve

Unit 2 - Triangles Equilateral Triangles

2-1. Unit 2 - Triangles. Equilateral Triangles. Overview: In this activity participants discover properties of equilateral triangles using properties of symmetry.

GeoGebra Quickstart

GeoGebra Quickstart, Version 4.2 - www.geogebra.org. 1. Quickstart. What is GeoGebra? • Dynamic Mathematics Software in one easy-to-use package.

Projecto- Geogebra

Objectivos: - Reconhecer que a soma dos ângulos internos de um triângulo é 180 º. ... Determina a amplitude de cada um dos ângulos internos do triângulo. 3.

Geogebra untuk lingkaran

Pemanfaatan Geogebra dalam Pembelajaran Matematika di Sekolah Menengah. Kegiatan 11: Luas dan Keliling Lingkaran. 1. Klik file menu New window. 2.

TRIANGLES, SQUARES AND GEODESICS

Oct 29, 2009 - the regular languages used by Gersten and Short when K is a triangle com- plex or a ... unit equilateral triangle or a unit square. Euclidean ...

Isometries ] a creative approach with Geogebra and ...

Technology in Education of Trainers, Department of Education, University of ..... students address the concept through GeoGebra and evolve to a paper and ...

Isometries ] a creative approach with Geogebra and ...

individuals are creative (Alencar, 2007). The same author states that a significant factor that interferes with their creative potential is education. However, its ...

Decomposition of Triangles into Isosceles Triangles I

Sep 24, 2004 - ZDM subject classification: G43, K23, CÂ½3, D43 .... eÂ¥ffective for the studentsÂ£ part if it is discovered by themselves either to some degree or on the ... there is no such decomposition since the three vertices of the original tria

Constructing and Exploring Triangles with GeoGebra

Download PDF

0 downloads 0 Views 316KB Size Report

Comment

KEYW ORDS:construction, compass, straightedge, triangle,. GeoGebra, median ... As always, the first step is thinking - that is, without GeoGebra. W e need to ...

*&

"

!

"

#$

!

) "

%&

% '!(

%&

% '!(

# #$

! " $ % % & '" ( ) $ " % % & '" $ $ ( % % & '" ( $ '" " ! $ $ '*

+ #

'

, -. $'/ + % %& '

'

$

( (

$

) $ $'

$ '

0 *

$ " -

" % % & +%

(

,

$ &

$ $% % & &

$

$ ) +

$ 0 & % %&

( ,

)

./

(2

+

. /

$ & ( 0

(

'.&/ $

'. / $' . / $ $

'"

1,'. / )

'" " ! $ . & "

1

"

3

(

$

$ $-

$

'

$ $

1!0 2

)

/ $

$

45

.

*

*

#3

" ('

*

! $ 6 -

$

'" $

$ '"

0!

" "

!

!

#4

(" 7

&

"

! " &

$

% %& '

! "

$

"(

/

! " $ 8'"

45 $ 0 ) (

)

1!1 9 "

0

" " "" 7 ' . $ "5 $ % %& " ! '" "

* .; !

5

$

(8: / -

(

$

5

$

0

(.

"

!& "

>

$

$

/

(

&

! " . (/ !

$

& 7

"

" &

! $

$

$$ $

&(

"

&

8& 6

$

0

&

3 '" "

" 3.

$ 45=

! 7(

"
) - ?

" "

&

$

$ ! $

4 &

: & '

3

? $& )

+ "

9

' ?'" $

@' ! &(

$ !

3 . $ B/

".

)

$'"

(

(/

0

$

8! .

A " " " .&

-

$ " " . / ) ) $ 3'"

'"

D +9

"

( $

" $

$

3 $/

"

4 + '" ' " 3 .&/ " - (' " 9 *

7" ! 8 $

(

& 7 $8 E3 :

$ $ $

3

$

C

(:

'

&& *

E

$

$

0

D

"

#

$ $

'" '"

" "

$ $

E #

"E .

3 $

F/

:!

;

A-

&

- (

$

(

D

E " " =. 45= /

'" E

" '" E'" )

45= "

E

$

"

$

$

$

"

(

$

*

G

5 - ( "

) (" $

" $

3 ! " G . $ 5/ % %&

( " "E

4

=!

*

"

6

-

*

'"

0

/

(

(

$

>

*

-

$ &

" '&

% %& 0 '" D

( "(

& : 0 '

) : $

&

6!0 2

?

# $ % % & '" &( $ $ 7$- 8 A $ ( (& " (

( $ $

'

$

$

$

6!1 /

? $

$-

: )

% %& A

$

! (

(. $ (

. $

$/

$

:E / 9 "

0@!

A ;

00!

B ;

(

-

$

$

( ( $

$ $

!" (:

-

6!5

*

9 "" !6 " $ ) : $ $ ' ' $ G $ $- 5 $ $ DH H I 45= 'H EH I 45= H EH I 45= ! " $ ) ( $ 0 ( " " 45= ( ( 45= 0 (D G " " 0 " $

7

! >

E A

5

& -

( 0 ' $ 45= G ( &( 54 $ $ D

"

( '" $ ' 5 " > * $ % %& & &"( $ $ $ $ " 0 ( ! " $ & ! $ " $ $ ' $ ( " ) ( 6B J 3 ' " &$ & ( (" ) & * $ " '1@J (" ' $ " " ! ' ( @J ( " $ " % %& ' $ $ 0 (

! !

!

(' " & -

$ " - $ " & ! &( !

" " " ! $" % % & ( * "( " ( '" 6 ( ( $

""

$

% %& ' ( ) -- ( $ ! ( & & ( '" - $ ! $% % & $ ( ! '" $

( $

$ ( (

'# +

1,

!

%

$

! *) ' 1 D44

+

,

)

+M

,

!

,

,

4&

' &

D44$ $ &

'

4

F6

5

6 %

!F

% %&

N

+

$4$4

#

#

+

>

% C! #

,

!" '*)

K

!

+%

6 # # '#L'- B'

C!

(

" # '3

& '; L

$

#D 6 # &, ; 6 ;

'( "# ) # * + M $" % %& D ? '

(

*! EFGFHIJKLJ 6 -./.0102345 267189234 2 94:4;2 64 4