Modul Transformation - Bab 11

8/2/2019 Modul Transformation - Bab 11

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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)


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)



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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

Modul Transformation - Bab 11

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