CIE iGCSE Maths C7.1 Transformations - Exam Style Practice Questions- Paper 3- New Syllabus
▶️ Answer/Explanation
(a)
Comparing vertices from A to B on the original grid shows the size shrinks by half, and drawing ray lines through matching vertices intersect at the origin.
✅ Answer: Enlargement, centre $(0,0)$, scale factor $0.5$
(b)
Translate every point of shape A to the right by $3$ units and up by $7$ units.
✅ Answer: Triangle drawn at $(2,2)$, $(4,2)$, $(2,5)$
▶️ Answer/Explanation
(a)
Analyzing the orientation shows that shape $A$ has been turned clockwise.
By tracking corresponding points, we can determine the center and amount of rotation.
It is a rotation of $90^{\circ}$ clockwise around the origin point $(0,0)$.
✅ Answer: Rotation, $90^{\circ}$ clockwise, centre $(0,0)$
(b)
The horizontal line equation $y = 0$ represents the main $x$-axis line.
Reflecting shape $A$ vertically across this axis means invert its vertical coordinates while keeping horizontal positions identical.
The new coordinate vertices will be plotted at positions: $(-4, -2)$, $(-2, -2)$, $(-3, -3)$, and $(-1, -3)$.
✅ Answer: [Reflected shape correctly drawn below the x-axis]