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Chapter 11 - Transformations I (Form 2)
Section a. (Objective)
1. The diagram shows a transformation with P as the object and Q as the
image.
Which of the following describes the above transformation?
A Translation
B 90o clockwise rotation about O.
C 180o rotation about O.
D Reflection in the y-axis.
2. The diagrams are drawn on square grids. Sis the image ofS under
translation.
Which of the figures A, B, C or D is the image ofP under the same
translation?
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3. Which of the figures A, B, C or D is the image ofP under the sametranslation ?
4. The diagram is drawn on square grids.
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Which of the figures A, B, C or D is the image of figures Kunder translation
?
5. In the diagram, triangles P and Q are drawn on square grids. Triangle Q
is the image triangle P under a translation.
Which of the points A, B, C or D is the image at Tunder the same
translation?
6. If P(2, -2) is the image ofP under the translation , what are the
coordinates ofP?
A (3, 0)
B (7, -4)
C (-3, 0)
D (-7, 4)
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7. Which of the figures A, B, C or D is not the image ofP under a reflection?
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8. The diagram shows a triangleABC.
Determine the image of the point C under a reflection in the lineAB.
A (6, 0)
A (4, 2)
A (0, 0)
A (-2, 0)
9. In the graph, triangleABCis the image of triangleABC under a
rotation about the origin (0,0).
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Which of the following describes the angle of rotation?
A 45o anticlockwise
B 45o clockwise
C 90o anticlockwise
D 90o clockwise
10. In the diagram, point P is rotated 90o anticlockwise about the
origin.
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Determine the image of the point P.
A (2, 2)
B (-2, 3)
C (3, 2)
D (3, -2)
11. The diagram below is drawn on square grids. Which of the figures
I, II, III and IV is the image ofP under a rotation about the point O?
A l C lll
B ll D lV
12. In the diagram, triangle ll is the image of triangle l under an
anticlockwise rotation about the origin, O.
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Which of the following describes the angle of rotation?
A 180o
B 45o
C 90o
D 360o
13. In the diagram, the shaded figure is rotate 90o clockwise about
the origin, O.
Find the coordinates of the image of point Vunder the same rotation.
A (2, 2)
B (-2, 3)
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C (3, 3)
D (3, -2)
14. In the diagram, point Wis reflected in the line LM.
What are the coordinates of the image of point W.
A (2, 2)
B (1, -3)
C (3, -3)
D (3, -2
15. The coordinates of a point P are (2, 5). Given that the image ofP
under a reflection in the x-axis is P, find the coordinates ofP.
A (-2, -5)
B (-2, 5)
C (2, -5)
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D (-5, 2)
16. The diagram is drawn on square grids.
Which of the figures I, ll and III is/are the images of figure P under a
reflection?
A II only C II and III only
B I and II only D I, Il and Ill
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17. In the diagram, point Q is rotated through 90o anticlockwise about
point (-1, 0).
State the coordinates of the image of point Q.
A (2, 2)
B (1, -3)
C (3, 1)
D (0, 3)
18. The diagram is drawn on square grids. Quadrilateral P is the
image of quadrilateral Punder a 180 rotation.
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What are the coordinates of the center of rotation?
A (4, -2)
B (1, -3)
C (3, -1)
D (3, -2)
19. The diagram is drawn on square grids.
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Which of the figures I, II and lll is/are isometric to Figure P?
A I only C Il and Ill only
B Il onl D I, Il and lll
20. The diagram is drawn on triangular grids.
Which of the figures A, B, C, or D is congruent to figure P?
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Section b. (Subjective)
1. Diagram above shows a quadrilateral R drawn on a square grid.
Draw the image of the quadrilateral R under a translation .
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2. Diagram above shows a quadrilateral R drawn on a square grid.
Draw the image of the quadrilateral R under a translation .
3. Under a translation, the point T(6, 3) maps onto the point T(2, 4). State
the coordinates of the image of point S(2, 4) under the same translation.
Answer:
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4. In the diagram, P is the image ofP under transformationM.
x
P
P
O
6
2
4
8 12
12
y
2 4 6
8
10
10
Describe in full transformationM.
Answer:
5. The diagram shows two polygon, H and H , drawn on a grid of equal
squares with sides of 1 unit.
H
H
H is the image ofH under transformation L. Describe in full transformation
L
Answer:
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6. The diagram in the answer space shows two quadrilaterals, ABCD and
A B C D , drawn on a grid of equal squares. On the diagram in the
answer space, draw the axis of reflection.
Answer:
A
A
B
C D
BC
D
7. The diagram in the answer space shows object P and straight line MN
drawn on a grid of equal squares. On the diagram in the answer space,
draw the image of P under a reflection in the straight line MN.
Answer:
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P
M
N
8. The diagram in the answer space shows trapezium ABCD drawn on a grid of
equal squares. C D is the image of CD under a rotation 180 about thepoint P. On the diagram, complete the image of trapezium ABCD.
Answer:
B
A
C
D
P
C
D
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9. Diagram in below shows three triangles, P, Q, and R, which are drawn on
a Cartesian plane.
x24
2
4
2 4O
6 P
Q
R
8
10
12
y
(a) Q is the image of P under a rotation of 90. State
(i) the direction of the rotation,
(ii) the coordinates of the centre of the rotation.
(b) R is the image of P under transformation M. Describe in full the
transformation M.
Answer:
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10.Diagram above shows polygon PQRS drawn on a grid of equal squares. On
the diagram, draw polygon PQR'S, the image of polygon PQRS under a
90 anticlockwise rotation about the pointA.
11.Diagram shows a pentagon PQRSTand RSa grid of equal squares. RSisthe image ofRS under a rotation of 90o clockwise about point O. OnDiagram 1 in the answer space, complete the image of pentagon PQRST.
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`
12. Diagram shows two polygons, Q and Q, drawn on a grid of equalsquares with sides of 1 unit.
Qis the image ofQ under transformation M. Describe in full transformationM.
Answer:
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13.Diagram in the answer space shows two triangles drawn on a grid of equalsquares.S is the image ofS under enlargement.State:(a) The centre of the enlargement.(b) The scale factor of the enlargement.
Answer:
14.Diagram shows a Cartesian plane.
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Triangle Sis the image of triangle S under transformation H.
Describe in full transformation H.
Answer:
15.Diagram in the answer space shows two quadrilaterals, EFGH and EFGH,
drawn on a grid of equal squares. EFGH is the image of EFGH under
reflection. On the diagram, draw the axis of the reflection.
Answer:
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16.Diagram show two trapeziums P and Q, which are drawn on a Cartesian
plane. Q is the image ofP under a rotation.
State:
(a) Angle and direction of rotation.
(b) Coordinates of the centre of rotation.
Answer:
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17.Diagram shows a right prism.
Draw a full scale the net of the right prism on the grid in the answer space.
The grid has equal squares with sides of 1 unit.
Answer:
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18.In diagram below, triangle Pis the image of the triangle P under
transformation V. Describe in full the transformation V.
Answer:
19.On diagram in the answer space, draw the image of quadrilateral ABCD
under a 90o anticlockwise rotation about the point (4, 3).
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20.Diagram shows two polygon, H and H, drawn on grid of equal squares with
sides of 1 unit. His the image ofH under transformation L. Describe in fulltransformation L.
END OF QUESTION