Name :______________________________________________________________________ Form : 2______________________ 2____________________________ ______ TRANSFORMATIONS (MT F2) The paper consists of 9 subjective questions. Show all your work.
1. In the figure, H is the image of G under translation T. ⎛ a ⎞
Describe translation T in the form of ⎜⎜ ⎟⎟ . b
3. In the diagram provided, Q is the image of P under a reflection. Draw the axis of reflection.
⎝ ⎠
4.
2. The figure shows shows an object, object, K, on a Cartesian plane. Construct the image of K under a reflection in the y-axis.
Diagram above is drawn on square grids. On the grid, draw the image of ⎛ 6 ⎞ ⎟. − 4⎟
figure K under a translation ⎜⎜ 5. 3. On the diagram provided, complete the image of the object below under a reflection in the line XY.
Diagram shows two polygons, ABCD and A′B′C′D′, which are drawn on square grids. A ′B′C′D′ is the image of ABCD under a reflection. On the grid, draw the axis of reflection. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Prepared by Ms Hafiza Akmal Yusoff 1/2
Name :______________________________________________________________________ Form : 2______________________ 2____________________________ ______ 6. The diagram shows a Cartesian plane. X, Y 8. Diagram shows a Cartesian plane. State and Z are quadrilaterals. the coordinate of Q under ⎛ 5 ⎞ ⎟⎟ , 4 − ⎝ ⎠
(a) the translation ⎜⎜
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(b) the rotation of 90° clockwise about the origin.
(a) Y is the image of X under a rotation of 90°. Determine the direction and the centre of rotation. (b) Z is the image of Y under a transformation. Describe the transformation.
7. Diagram shows three triangles, P, Q and R which are drawn on a Cartesian plane.
9. Quadrilateral PQRS is drawn on a Cartesian plane. Draw the image P′Q′R′S′ under 180° rotation about point (1,0).
(a) R 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) Q is the image of P under a transformation M. Describe in full transformation M.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Prepared by Ms Hafiza Akmal Yusoff 2/2
