1MA0 Higher June 2012 Paper 1 Q18
18
Triangle \(ABC\) is drawn on a centimetre grid.
\(A\) is the point \((2, 2)\).
\(B\) is the point \((6, 2)\).
\(C\) is the point \((5, 5)\).
Triangle \(PQR\) is an enlargement of triangle \(ABC\) with scale factor \(\frac{1}{2}\) and centre \((0, 0)\).
Work out the area of triangle \(PQR\). (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\frac{1}{2} \times 4 \times 3 = 6\) \(\left(\frac{1}{2}\right)^2 \times 6 =\) | 1.5 | 3 | M1 for \(\frac{1}{2} \times 4 \times 3\) oe M1 for \(\left(\frac{1}{2}\right)^2 \times\) “6” A1 cao OR M2 for \(\frac{1}{2} \times 2 \times 1.5\) oe (M1 for triangle with all lengths \(\frac{1}{2}\) corresponding lengths of triangle \(ABC\) seen in any position or vertices seen at (1, 1) (3,1) and (2.5, 2.5) or stated) A1 cao |