\( \text{Multiply each coordinate from the centre of enlargement by the scale factor.} \)
Question 11:
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\[ \begin{array}{l} \text{On the grid, draw an enlargement of the triangle} \\ \text{with a scale factor of 3, using the origin as the centre of enlargement.} \end{array} \]
Answer:
Explanation:
\begin{array}{l} \textbf{Enlargement by scale factor }3\text{ from the origin:} \\ \bullet\;\text{Take each vertex of the original triangle.} \\ \bullet\;\text{Multiply both the }x\text{- and }y\text{-coordinates by }3. \\ \bullet\;\text{Plot the new points and join them to form the enlarged triangle.} \\ \text{Example: if a point is at }(2,1)\text{, then }(3\times2,\;3\times1)=(6,3)\text{.} \end{array}