A referee logs two flag positions for a bus-pass hologram motif used in public transport. Triangle \(Y\) maps onto triangle \(Z\), is plotted on the grid be...
Question 1 Report
A referee logs two flag positions for a bus-pass hologram motif used in public transport. Triangle \(Y\) maps onto triangle \(Z\), is plotted on the grid below.
- Fully describe, as a single transformation, how triangle Y maps onto triangle Z. (4)
Answer Details
To identify the single transformation mapping triangle \(Y\) onto triangle \(Z\), corresponding vertices are compared on the grid. Each vertex of \(Z\) lies the same distance from the point \((0, 1)\) as the matching vertex of \(Y\), but on the exact opposite side of it, which is the signature of a half-turn rotation [1 mark], of \(180^\circ\) [1 mark], about the centre \((0, 1)\), the fixed point of the turn [2 marks]. For a \(180^\circ\) rotation, describing the turn as clockwise or anticlockwise gives the same final position either way, since a half turn in either direction lands on exactly the same point.
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