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MathematicsDidactics
UniverCity of Alicante
Actividades: Transformhereones geometrichs
Transferactionis
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Movements_in_the
_plan/Movi2.htm
1. What is the transformation ofquadrilateral ABCD by translationion defined
by the vectorgivenat the fifigure?What?al is the vector of lto transferation?
2. Using lto squarericulaand theaxes mapsianyou
a) A t scratch itction in the plane is defined by the
vector v= (2, 3)
• Find the image gene bysaidbackrelationshipof thes
points A(2,3), B( -2, -1), C(2, - 3)
b) A translation in the plane is defined by the vector u=
(23)
• Find the image by said translation of point A(2
,3), B(-2, -1), C(2, - 3)
c) If point A (2,1) hasas transferred to point A'
(4,0). Indicates howal is thevectoror of lto
transferationv
3. a) Consider figure F (in black). Indicate in each case the vector of the ttranslation
that transformsfigure F into figures 1,2,…6.
b) Applicationca a traslacion dand vector v= ( -8,- 3) tothe figurea 1.
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MathematicsDidactics
UniverCity of Alicante
4. In a translation by the vector v, the point A(2,3) is ttransforms into A' (1,2),
Draw on the coordinate axes the transformations of the following:before
figures
• Circumference differencesa of centro (0,0)and radius r=2
• Triangle ABC whose vertices are the points A(-1, -1), B(4, 0) and C(1,2)
• Quadri Lateral dand vertthese A( -1.2), B(1.4),C(4,1) and D(2,0)
5. Indicate howal is thevectoror of traslacion inthe yessomeonethree cases
a) if the triangleOriginal name is ABC
b) if the triangleoriginal name isA'B'C'
to) if the circoriginal volumefinal is the o
center A
b) sand the circleThe original name is el
center C
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