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Transformation Test

The document describes a mathematics problem involving geometric transformations of triangles. It provides the coordinates of two triangles, ABC and DEF, and asks the student to: 1) Describe the single transformation T that maps triangle ABC onto triangle DEF and write down the matrix P representing T. 2) Determine the coordinates of points Y and K based on the given matrix Q representing another transformation. 3) Describe the transformation represented by Q and find the matrix R such that Q=RP.

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Salman Ahmed Qureshi
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134 views3 pages

Transformation Test

The document describes a mathematics problem involving geometric transformations of triangles. It provides the coordinates of two triangles, ABC and DEF, and asks the student to: 1) Describe the single transformation T that maps triangle ABC onto triangle DEF and write down the matrix P representing T. 2) Determine the coordinates of points Y and K based on the given matrix Q representing another transformation. 3) Describe the transformation represented by Q and find the matrix R such that Q=RP.

Uploaded by

Salman Ahmed Qureshi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Time Allowed: 35 mins (Transformations) Max.

Marks: 22
1)
2)
3) Triangle ABC has vertices A (1, 1), B (3, 1) and C (1, 2).
Triangle DEF has vertices D (–1, –1), E (–1, –3) and F (–2, –1).
The matrix P represents the single
transformation, T, that maps triangle ABC
onto triangle DEF.
(a) (i) Describe T fully.

______________________________________

______________________________________ [2]
(ii) Write down the matrix P.

Answer [1]

(b) Another transformation is represented


0 −1
by the matrix Q, where Q = ( )
1 0
(i) This transformation maps B onto Y.
Find the coordinates of Y.

Answer Y = (………, ………) [1]


(ii) This transformation maps K onto C. Find the coordinates of K.

Answer K = (………, ………) [2]


(iii) Describe, fully, the single transformation which is represented by Q.

_______________________________________________________________________ [2]
(iv) The matrix R is given by Q = RP.
By considering the effects of transformations on triangle ABC, or otherwise, find R.

Answer (b)(iv) [2]

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