Foundation November 2018 Paper 1 Q14
14 The diagram shows quadrilateral \(ABCD\) with each of its sides extended.
\(AB = AD\)
Show that \(ABCD\) is a kite.
Give a reason for each stage of your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| shown | M1 | for method to find angle \(ADC\), eg \(180 - 75\ (= 105)\) |
| M1 | for angle \(BCD = 50\) | |
| M1 | for method to find angle \(ABC\), eg \(360 - 100 - 50 - \text{``}105\text{''}\) | |
| C1 | (dep M3) for angles \(ADC\), \(BCD\) and \(ABC\) correct and at least 2 appropriate reasons, eg vertically opposite angles are equal or vertically opposite angles are equal, angles on a straight line add to 180°, angles in a quadrilateral/kite add up to 360°; angles at a point add up to 360° |
Additional guidance
Must be clear link to angle \(ADC\), may be marked on diagram
Must be clear method/explanation shown. Angle marked on diagram is not sufficient.
Underlined words need to be shown; reasons need to be linked to their method