Higher November 2023 Paper 3 Q15
15 The diagram shows triangle \(ABC\) and triangle \(AED\).
Show that triangle \(ABC\) and triangle \(AED\) are similar. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for method to find comparable ratios eg \((21.6 + 58.4) \div 32\ (= 2.5)\) and \((32 + 22) \div 21.6\ (= 2.5)\) or \(32 \div (21.6 + 58.4)\ (= 0.4)\) and \(21.6 \div (32 + 22)\ (= 0.4)\) or \(21.6 \div 32\ (= 0.675)\) and \((32 + 22) \div (21.6 + 58.4)\ (= 0.675)\) or \(32 \div 21.6\ (= 1.\dot{4}8\dot{1})\) and \((21.6 + 58.4) \div (32 + 22)\ (= 1.\dot{4}8\dot{1})\) |
| C1 | for correct conclusion supported by the correct evaluation of 2 ratios to show they are equal |
Additional guidance
Fractions may be used.
Accept 3 sf or more.
We do not require reference to the common angle.