Foundation June 2025 Paper 2 Q22
22 The diagram shows a rectangle ABCD with diagonal AC.
Not to scale
Complete each statement to show that triangle ABC is congruent to triangle ADC.
Angle ADC = angle .................. because both angles are \(90^\circ\).
Side AD = side .................. because opposite sides of a rectangle are equal.
Side CD = side .................. because ......................................................
The above three statements show that triangle ABC is congruent to triangle ADC because of .................. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| ABC or CBA | B1 | Must use 3-letter notation | |
| CB or BC | B1 | ||
| AB or BA and opposite sides of a rectangle are equal oe | B1 | See Appendix 1 for comment | |
| SAS oe | B1dep | Dependent on previous B1B1B1 | isw any comment made if SAS stated See Appendix 2 for SAS oe |
Appendix
Appendix 1: Q22 – All exemplars below assume AB (or BA) has been given in addition to the following:
| Response | Mark | |
|---|---|---|
| A | Opposite sides of the rectangle are equal (and parallel) | B1 |
| B | Parallel sides of a rectangle are equal | B1 |
| C | Opposite sides are equal | B1 |
| D | Opposite lengths are equal | B1 |
| E | Parallel sides are equal | B1 |
| F | They are parallel making them equal for a rectangle (They refers to sides CD and AB) | B1 |
| G | The long sides are equal | BOD B1 |
| H | The top and the bottom sides are equal | BOD B1 |
| I | Both lengths are equal in a rectangle | B0 |
| J | They are parallel | B0 |
| K | They are equal lengths (The candidate is stating no more than CD=AB) | B0 |
| L | Lengths of a rectangle are equal | B0 |
| M | It’s equal | B0 |
| N | They’re the same length | B0 |
| O | Opposite angles are equal | B0 |
| P | They are opposite each other | B0 |
Appendix 2: Q22 – All exemplars below assume that the candidate has been awarded B1, B1, B1 in the previous three parts of the question.
| Response | Mark | |
|---|---|---|
| A | Side Angle Side | 1 |
| B | Two sides and the included angle are the same in both triangles | 1 |
| C | Two sides and the angle between these sides are equal in both triangles. | 1 |
| D | SAS – All sides and angles are equal | 1 - isw |
| E | Right angle, Hypotenuse, Side (RHS) (not related to the three given statements) | 0 |
| F | Two equal sides and one equal angle (not stating the relationship between the sides and angles) | 0 |
| G | All sides, angles and lengths are equal | 0 |
| H | They are equal and corresponding | 0 |