11.2 Transformations (I), PT3 Focus Practice


11.2 Transformations (I), PT3 Focus Practice
Question 1:
Diagram below in the answer space shows object drawn on a grid of equal squares with sides of 1 unit.
On the diagram, draw the image of object under the translation ( 6 3 ) .   

Answer
:

Solution
:


Question 2:
Describe the translation which maps point P onto point P’.

Solution
:
The translation is ( 7 6 ) .  



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
:

 
Solution:
 


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
:
 
Solution:



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
:

Solution:
(a) ∆ P’Q’R’ is the image of ∆ PQR under a clockwise rotation of 90o.
(b) Image of K = (1, –4).

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