Foundation November 2019 Paper 1 Q29
29 \(ABC\) and \(PQR\) are similar right-angled triangles.
angle \(ABC\) = angle \(PQR\)
(a) Work out the length of \(PR\). (2)
Triangle \(EGH\) is congruent to triangle \(KGF\).
\(HK = 10\) cm.
\(HG = 4\) cm.
(b) Work out the length of \(EF\). (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 6 | M1 | for stating a similar triangle relationship eg \(\dfrac{AB}{PQ} = \dfrac{AC}{PR} = \dfrac{CB}{RQ}\) or equivalent set of similar triangle expressions or for substitution giving a fraction form for a scale factor eg \(\dfrac{10}{15}\left(= \dfrac{2}{3}\right)\) or \(\dfrac{15}{10}\left(= \dfrac{3}{2}\right)\) or \(\dfrac{9}{15}\left(= \dfrac{3}{5}\right)\) or \(\dfrac{15}{9}\left(= \dfrac{5}{3}\right)\) |
| A1 | cao |
Additional guidance
Accept any equivalent fractions or decimal equivalents given to at least 2 dp truncated or rounded
| Answer | Mark | Mark scheme |
|---|---|---|
| 2 | P1 | for showing understanding of the properties of congruent triangles by finding an unknown length using matching of two sides, eg \(EG\), \(KG\) and 6, or \(HG\), \(FG\) and 4 or matching corresponding angles eg \(HEG\) with \(FKG\) and \(EHG\) with \(KFG\) |
| A1 | cao |
Additional guidance
Can be shown by any complete statements that are unambiguous
Can be shown in working using algebraic statements, or given by unambiguous marking on the diagram to confirm the relationship.