Initial Diagnostic Audit - Unit J2: Further Transformations
Section J2.1 - Translations

Describe, in vector form, the translation that are shown in each question.

1.
A → B =     
2.
A → E =     
3.
B → C =     
4.
A → D =     
5.
B → A =     
Section J2.2 - Combined Transformations
6.

(a)  Rotate the trapezium ABCD through 90° in an anticlockwise direction about the point A to form
the trapezium AB'C'D'.
What are the new coordinates of B'?  B' = (,)

(b)  Reflect ABCD in the line through AD to form the trapezium AB''C''D.
What are the new coordinates of C''?  C'' = (,)

(c)  What is the single transformation that will transform AB'C'D' onto AB''C''D?  

7. Reflect the shape A, below, in the line x = -1 to obtain shape B.
Reflect shape B in the line y = -1 to obtain shape C.

Find the angle and centre of rotation that will transform shape A to shape C.
Angle of rotation = °
Centre of rotation = (,)

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Produced by Russell Geach for CIMT - August 2014