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Triangle A(−4, 1),B(−2, 2) and C(−3,3) is mapped onto AlBlCl by enlargement scale factor −1 centre (0,3). On the grid provided draw the triangle ABC and its image AlBlCl. State the co-ordinates of AlBlCl
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asked
Jun 30, 2021
in
Mathematics Form 2
by
anony mous
Triangle A(−4, 1),B(−2, 2) and C(−3,3) is mapped onto A
^{l}
B
^{l}
C
^{l }
by enlargement scale factor −1 centre (0,3). On the grid provided draw the triangle ABC and its image A
^{l}
B
^{l}
C
^{l}
. State the co-ordinates of A
^{l}
B
^{l}
C
^{l}
Triangle A
^{l}
B
^{l}
C
^{l}
is mapped onto A
^{ll}
B
^{ll}
C
^{ll}
by reflection on the line x + y =0, Draw the image A
^{ll}
B
^{ll}
C
^{ll}
and state its co-ordinates
Find the matrix of transformation which maps triangle A
^{ll}
B
^{ll}
C
^{ll}
onto ∆ABC
reflection and congruence
similarity and enlargement
matrices and transformation
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1
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answered
Jun 30, 2021
by
anony mous
selected
Jan 30
by
easyadmin
Best answer
A
^{ll}
(−5,−4), B
^{ll}
(−4,−2), C
^{ll}
(−3,−3)
−5a−4b=−4 −5c−4d=1
−4a−2b=−2 −4c−2d=2
5a+4b=4 −5c−4d=1
8a+4b=4
−8c
−4d=
4
a=0 3c = −3
b=1 c=−1
d=1
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