Coordinates and geometric problems on axes
3 exam-style questions. Answers and the mark for each step are on the last page.
- Question 1
(a) Point P has coordinates (, 4). What is the x-coordinate of P?
- Question 2
A rectangle has consecutive vertices A, B and C.
(a) Write the coordinates of the fourth vertex.
(b) Find its area.
- Question 3
(a) A triangle has vertices A(, 1), B(7, 1) and C(3, 9). Work out its area.
Answers and marks
Question 1
(a)
- B1 Correct answer:
Question 2
(a)
- M1 Use A’s x-coordinate and C’s y-coordinate.
- A1 Correct answer:
(b)
- M1 Multiply the positive horizontal and vertical differences.
- A1 Correct answer:
Question 3
(a) square units
- P1 Establishing or an equivalent valid method.
- P1 Establishing or an equivalent valid method.
- P1 Establishing or an equivalent valid method.
- A1 Correct answer: square units