11.2.1 Transformations (I), PT3 Focus Practice
Question 1:
Diagram below in the answer space shows object P drawn on a grid of equal squares with sides of 1 unit.
On the diagram, draw the image of object P under the translation
Answer:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture39-2-300x300.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture40-2.png)
Question 2:
Describe the translation which maps point P onto point P’.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture41-2.png)
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture41-2.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture42-2.png)
The translation is
Question 3:
Diagram below in the answer space shows quadrilateral PQRS. R’S’ is the image of RS under a reflection in the straight line AB.
On diagram in the answer space, complete the image of quadrilateral PQRS.
Answer:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture43-2.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture44-2.png)
Question 4:
Diagram in the answer space, shows two polygons, M and M’, drawn on a grid of equal squares with sides of 1 unit. M’ is the image of M under a reflection.
(a) Draw the axis of reflection.
(b) Mark the image of P under the same reflection.
(c) Draw the image of M under reflection in the x-axis.
Answer:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture45-2.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture46-2.png)
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture46-2.png)
Question 5:
On diagram in the answer space, triangle P’Q’R’ is the image of triangle PQR under a rotation about centre C.
(a) State the angle and direction of the rotation.
(b) K’is the image of point K under the same rotation.
Mark and state the coordinates of K’.
Answer:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture47-2.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/07/Picture48-2.png)
(a) ∆ P’Q’R’ is the image of ∆ PQR under a clockwise rotation of 90o.
(b) Image of K = (1, –4).