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Chapter 11: Transformations
Paper 1
This test paper contains 20 questions. Answer ALL the questions.The diagrams accompanying the questions are not drawn to scale unless mentioned.
You are allowed to use a scientific calculator that cannot be programmed.
1 Diagram 1 shows pointRon a artesian plane.
DIAGRAM 1
!ind the image of pointRunder a translation
2"
.
A #$% 0& C #"% '2&B #$% ' (& D #"% ' (&
2 )n Diagram 2%PQis the image ofPQ.
DIAGRAM 2
!ind the translation which transformsPQtoPQ.
A
"(
C
(
"
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B
"
(D
"
(
3 *hich of the following is falseabout a translation+
A A transformation which in,ol,es only straight line mo,ement.
B An ob-ect and its image are congruent.C ,ery point in an ob-ect mo,es in the same direction through an equal
distance.
D The orientation of an ob-ect and its image are different.
4 A translation transforms a pointA#'/% "& to its imageA#$%'1&. The translation is
A
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C
/(
B
0
(D
/
(
5 )nDiagram $% trianglesA, B, C, D andPare drawn on a artesian plane.
DIAGRAM 3
Among the triangles A, B, C and D% which is the image of P under the translation
0
+
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6 Diagram ( shows pointPon a artesian plane.
DIAGRAM 4
tate the coordinates of the image ofP( under a reflection in thexa3is.A #(% 2& C #(% '2&
B #'(% '2& D #'(% 0&
)n Diagram %His the image ofHunder a certain reflection.
DIAGRAM 5
*hich of the following is the a3is of the reflection+
A VW C xa3is
B PQ D ya3is
! *hich of the following point "oes notchange its position under a reflection+
A The origin
B 4oints on thexa3is
C 4oints on theya3is
D 4oints on the a3is of reflection
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# Diagram " is drawn on a grid.
DIAGRAM 6
Among the triangles A% B% Cand D% which is the image ofPunder a reflection in thea3is VW+
1$ )n Diagram /%Pis the image ofPunder a reflection in the a3is VW.
DIAGRAM
!ind the ob-ectP.
A #2% $& C #2% '$&
B #'2% $& D #'$% 2&
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11 )n Diagram 5% the point Pundergoes a cloc6wise rotation about the origin through
an angle of 708.
DIAGRAM !
!ind the image ofP.
A #'2% $& C #2% $&
B #$% '2& D #'$% 2&
12 )n Diagram 7% the linesEF% GF%IJ%KL andVWare on artesian plane.
DIAGRAM #
*hich line is the image of VWunder an anticloc6wise rotation about the originthrough an angle of 708+
A EF C HG
B IJ D KL
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13 )n Diagram 10% triangleA9 is the image of triangleAunder a rotation through 708.
DIAGRAM 1$
!ind the centre of rotation.
A #$% 1& C #0% 1&
B #'2% 1& D #1% 1&
14 Diagram 11 shows pointsPand Qon a artesian plane.
DIAGRAM 11
!ind the image of Qunder an anticloc6wise rotation aboutPthrough an angle of 708.
A #$% '1& C #2% 0&
B #'1% '$& D #0% 0&
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15 Diagram 12 shows two triangles.
DIAGRAM 12
PQis the image ofPQunder
A a translation
B a reflection in the a3isPP
C a rotation in a cloc6wise direction about the centreRthrough 708
D a rotation through 1508 about the centreR
16 )n Diagram 1$% the triangles are drawn on a grid.
DIAGRAM 13
TrianglePcan be transformed to trianglePby
A a translation C a reflection
B a rotation D an enlargement
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1 Diagram 1( is drawn on a grid.
DIAGRAM 14
TriangleRcan be transformed to triangleRby
A a reflection only
B a rotation only
C a translation or a reflection
D a reflection or a rotation
1! )n Diagram 1%ABCDis a square measuring 5 units by 5 units while AFEDis a
rectangle measuring 5 units by ( units.
DIAGRAM 15
:ectangleAFED can be transformed into rectangleFBCEby
A a translation only
B a rotation or a reflection
C a translation or a rotation
D a translation or a rotation or a reflection
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1# )n Diagram 1"% the triangles are drawn on a grid.
DIAGRAM 16
*hich triangles are congruent with triangleP+
A ) only C ) and )) only
B )) only D )% )) and ); only
2$ *hich of the following is nottrue+
A )sometry refers to a transformation where an ob-ect and its image are
congruent.
B !igures ha,ing the same si
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Paper 2
This test paper contains 10 questions. Answer ALL the questions.
The diagrams accompanying the questions are not drawn to scale unless mentioned.
You are not allowed to use a calculator.
1 The image of pointP#2% '& undergoing a translation
"
/is =========.
2 Diagram 1 is drawn on a grid.
DIAGRAM 1
The translation is represented by =============.
3 )n Diagram 2% the triangles are drawn on a grid.
DIAGRAM 2
The translation which transforms trianglePto triangle Qis =======.
4 A reflection in the xa3is will transform point P #'$% '2& to point Q. tate thecoordinates of point Q.
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5 )n Diagram $% pointAis reflected in the linePQ.
DIAGRAM 3
tate the coordinates of the image ofA.
6 )n Diagram (% trianglePOQand triangleFOEare on a artesian plane.
O
DIAGRAM 4
tate the transformation which transforms trianglePOQto triangleFOE.
)n Diagram % the pointPis transformed toPunder a cloc6wise rotation about the
origin through 708.
O
DIAGRAM 5
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tate the coordinates ofP.
! )n Diagram "% the point Qis on a artesian plane.
DIAGRAM 6
tate the coordinates of the image of Qunder an anticloc6wise rotation about the
centre #' 1% 1& through an angle of 1508.
# )n Diagram /% the pointsAtoJare on a artesian plane.
DIAGRAM
Among the pointsAtoJ% which is notan image ofPunder a rotation about the origin+
1$ )n Diagram 5% the triangles are drawn on a grid.
$ cm P
.7 cm
(.$ cm
Q
DIAGRAM !
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>i,en that trianglesPand Qare congruent% find the perimeter ofP.
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