TMUA StepMaths Mock Paper 2 · Question 1

A letter L is printed somewhere on the $x$ - $y$ plane. It then undergoes three transformations: it is rotated anti-clockwise about the origin by $\dfrac\pi4$ radians, then it is reflected in the $x$ -axis, and finally it is rotated clockwise about the origin by $\dfrac\pi4$ radians. Which of the following transformations should be used to undo the change to the L?

ARotate clockwise about the origin by

\dfrac\pi2

radians

BRotate clockwise about the origin by

\dfrac\pi4

radians, then reflect in the

x

-axis, then rotate anti-clockwise about the origin by

\dfrac\pi4

radians

CReflect in the line

y=x

DReflect in the line

y=-x

EReflect in the

x

-axis

examday

StepMaths Mock Paper 2 · Q1