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1. Figure below shows quadrilaterals CDEF , PQRS , QRTU and J!"
on a
#artesian $lane.
%a& Trans'or(ation ) is a re'le#tion about the line * + .
Trans'or(ation - is the
translation % / &. State the #oordinates o' the i(age o'
$oint F under the
'ollowing trans'or(ations0
%i& )-
%ii& -)
% (ar2s&
%b& PQRS is the i(age o' UQRT under trans'or(ation 3 and
$qrs is also the i(age o'
CDEF under trans'or(ation 4. Des#ribe in 'ull
%i& trans'or(ation 3
%ii& trans'or(ation 4
% (ar2s&
%#& J!" is the i(age o' PQRS under an enlarge(ent.%i&
State the #oordinates o' the #entre and the 'a#tor s#ale o' the
enlarge(ent.
%ii& 3i5en the area o' PQRS is 16 units/ , #al#ulate
the area o' J!"
% (ar2s&
12
2
4
6
8
10
xO-2-4 2 4 6 8
y
F C
D
E
K
L
J MT
R
SU
P
Q
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/. Figure below shows triangles EF3 , 4J and !J" , drawn on a
Cartesian $lane
%a& Trans'or(ation T is a translation
−7
.
.
Trans'or(ation ) is a re'le#tion in the line * + 8/.
State the #oordinates o' the i(age o' $oint F under ea#h o' the
'ollowing
trans'or(ation0
%i& Translation T
%ii& Co(bined trans'or(ation )T
% (ar2s&
%b& %i& !J" is the i(age o' EF3 under #o(bined
trans'or(ation )-. Des#ribe
in 'ull, the trans'or(ation - and the trans'or(ation )
%ii& 3i5en that the shaded region !4" re$resents a region o'
area / (/
,#al#ulate the area , in (/ o' the region re$resented b*
4J.
%9 (ar2s&
4
-6
-4
-2
O
2
x2 4 6 8
y
-8
E F
G
J
K
H
M
L
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. Figure below shows quadrilaterals :;CD , EF34 , J!" and PQRS
on a
#artesian $lane.
%a& Trans'or(ation R is a re'le#tion about line < + / .
Trans'or(ation T is the
translation
1
÷−
.
State the #oordinates o' the i(age o' $oint J under the
'ollowing trans'or(ation0
%i& RT
%ii& TR
% (ar2s&
%b& :;CD is the i(age o' EF34 under trans'or(ation ) and
QPSR is also the i(age
o' :;CD under trans'or(ation -. Des#ribe in 'ull%i&
trans'or(ation )
%ii& a single trans'or(ation whi#h is equi5alent to
trans'or(ation -).
%7 (ar2s&
%#& J!" is the i(age o' PQRS under an enlarge(ent.
%i& State the #oordinates o' the #entre o' the
enlarge(ent
%ii& gi5en the area o' PQRS is 1/.7 units/ . Cal#ulate
the area o' J!"
% (ar2s&
12
2
4
6
8
10
xO-2-4 2 4 6 8
y
10
A
B
C
D
E
F
G
H
J
K
L
M
P
Q
R
S
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8/17/2019 Tutorial Transformations
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7. Figure below shows $entagon :;CDE , PQRST and PJ!" whi#h are
drawn on
a #artesian $lane
%a& Trans'or(ation ) is a translation 7− ÷
. Trans'or(ation - is a re'le#tion in the
line * + . State the #oordinates o' the i(age o' $oint E under
ea#h o' the
'ollowing trans'or(ations.
%i& Translation )
%ii& Co(bined trans'or(ation )-
% (ar2s&
%b& %i& PJ!" is the i(age o' :;CDE under the #o(bined
trans'or(ation 34.
Des#ribe in 'ull, the trans'or(ation 4 and the trans'or(ation
3
%ii& 3i5en that the area o' the shaded region QJ!"TSR is 1
#(/ , #al#ulate the
area, in #(/ o' $entagon PQRST.
%9 (ar2s&
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?. Figure below shows quadrilaterals :;CD , :EF3 , :J! whi#h are
drawn on a
#artesian $lane.
%a& Trans'or(ation P is a re'le#tion in the line * + 7 .
Trans'or(ation T is a translation
/
−
÷ . State the #oordinates o' the i(age o' $oint D under
the 'ollowing trans'or(ation.
%i& PT
%ii& TP
% (ar2s&
%b& %i& :J! is the i(age o' :;CD under a #o(bined
trans'or(ation -U.
Des#ribe in 'ull the trans'or(ation U and trans'or(ation -.
%ii& 3i5en that the area o' the shaded region is 1?6 #(/,
#al#ulate the area in
#(/, o' :EF3
%> (ar2s&
