The transformation of objects in GeoGebra
Čebyševskij sbornik, Tome 18 (2017) no. 2, pp. 129-143.

Voir la notice de l'article provenant de la source Math-Net.Ru

The article provides an overview of the system GeoGebra is designed to perform various transformations of objects on the plane using built-in tools and commands. Transformations that can be implemented with tools and commands — a mirror image of the object relative to the direct (axial symmetry), reflection of an object about a point (сentral symmetry), inversion relative to the circle, rotate around a point, parallel to the migration on a vector, homothety relative to the point. In addition, with commands, Shear and Stretch, not having tools analogues, you can make variety shifts of objects along and across of directions. Bibliography: 12 titles.
Keywords: GeoGebra, reflection, inversion, rotation, translation, homothety, shifts.
@article{CHEB_2017_18_2_a6,
     author = {A. R. Esayan and N. N. Dobrovolsky},
     title = {The transformation of objects in {GeoGebra}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {129--143},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2017_18_2_a6/}
}
TY  - JOUR
AU  - A. R. Esayan
AU  - N. N. Dobrovolsky
TI  - The transformation of objects in GeoGebra
JO  - Čebyševskij sbornik
PY  - 2017
SP  - 129
EP  - 143
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2017_18_2_a6/
LA  - ru
ID  - CHEB_2017_18_2_a6
ER  - 
%0 Journal Article
%A A. R. Esayan
%A N. N. Dobrovolsky
%T The transformation of objects in GeoGebra
%J Čebyševskij sbornik
%D 2017
%P 129-143
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2017_18_2_a6/
%G ru
%F CHEB_2017_18_2_a6
A. R. Esayan; N. N. Dobrovolsky. The transformation of objects in GeoGebra. Čebyševskij sbornik, Tome 18 (2017) no. 2, pp. 129-143. http://geodesic.mathdoc.fr/item/CHEB_2017_18_2_a6/

[1] O. L. Bezumova, R. P. Ovchinnikova i dr., Obuchenie geometrii s ispol'zovaniem vozmozhnostej GeoGebra, Izd. OOO “Kira”, Arhangel'sk, 2011, 140 pp.

[2] Esayan A. R., “Creating new tools in GeoGebra”, Problems of modernization of modern education, The reviewed collective monograph, Kaluga, 2016, 29–59

[3] A. R. Esayan, N. M. Dobrovolskii, E. A. Sedova, A. V. Yakushin, Dinamicheskaya matematicheskaya obrazovatelnaya sreda GeoGebra, v. 1, Izd-vo Tul. gos. ped. un-ta im. L. N. Tolstogo, Tula, 2017, 417 pp.

[4] A. R. Esayan, N. N. Dobrovolskii, I. Yu. Rebrova, “Postroenie dinamicheskikh modelei dlya resheniya nekotorykh zadach diskretnoi matematiki v GeoGebra”, Universitet XXI veka: nauchnoe izmerenie, Materialy Vserossiiskoi konferentsii, Izd-vo TGPU im. L. N. Tolstogo, Tula, 2016, 47–61

[5] A. R. Esayan, A. V. Yakushin, “Experimental validation of hypotheses in GeoGebra”, Chebyshevskii Sb., 18:1 (2017), 92–108

[6] A. R. Esayan, N. N. Dobrovolsky, “A computer proof of the hypothesis about of centroids”, Chebyshevskii Sb., 18:1 (2017), 73–91

[7] Zaslavskij A. A., Geometricheskie preobrazovaniya, MCMNO, M., 2004, 86 pp.

[8] Kokseter G. S. M., Vvedenie v geometriyu, Nauka, glavnaya red. fiz.- mat. lit., M., 1966, 648 pp.

[9] Kokseter G. S. M., Krejcer S., Novye vstrechi s geometriej, Biblioteka matematicheskogo kruzhka, 1978, 224 pp.

[10] Larin S. V., Komp'yuternaya animaciya v srede GeoGebra na urokah matematiki, Legion, Rostov-na-Donu, 2015, 192 pp.

[11] GeoGebra Manual. The official manual of GeoGebra, PDF generated at: Tue, 28 Apr 2015 19:24:47 CEST, 325

[12] Hohenwarter M., GeoGebra – didaktische Materialien und Anwendungen für den Mathematikunterricht (English: GeoGebra — educational material and applications for mathematics teaching), PhD thesis, University of Salzburg, 2006, 334 pp. https://archive.geogebra.org/static/publications/mhohen_diss.pdf