AQA Further AS Paper 1 Specimen — Question 1 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
SessionSpecimen
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicLinear transformations
TypeFind general invariant lines
DifficultyEasy -1.8 This is a 1-mark multiple choice question requiring only direct recall that invariant points under a reflection lie on the mirror line. The matrix clearly shows reflection in the x-axis (y-coordinate negated), making y=0 immediate. No calculation or problem-solving required—purely recognition of a standard transformation.
Spec4.03d Linear transformations 2D: reflection, rotation, enlargement, shear

1 A reflection is represented by the matrix \(\left[ \begin{array} { c c } 1 & 0 \\ 0 & - 1 \end{array} \right]\) State the equation of the line of invariant points. Circle your answer.
[0pt] [1 mark] $$x = 0 \quad y = 0 \quad y = x \quad y = - x$$

Question 1:
AnswerMarks Guidance
\(y = 0\)B1 Circles correct answer
## Question 1:
$y = 0$ | B1 | Circles correct answer

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1 A reflection is represented by the matrix $\left[ \begin{array} { c c } 1 & 0 \\ 0 & - 1 \end{array} \right]$\\
State the equation of the line of invariant points.

Circle your answer.\\[0pt]
[1 mark]

$$x = 0 \quad y = 0 \quad y = x \quad y = - x$$

\hfill \mbox{\textit{AQA Further AS Paper 1  Q1 [1]}}