Shape and Space 5
3 marks · NormalThe diagram shows trapezium Q with vertices at (2, 1), (6, 1), (6, 3), and (2, 3).
a) Write down the vector that translates Q so that P1 moves to (4, –2).
b) What are the new coordinates of P3 after the translation?
Write down the translation vector.
Calculate the new coordinates of P3 after the translation.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a)
(b) (8, 0)
Show mark scheme and worked solution
Marking points
A1 (a) · 1 mark · Correct translation vector written.
M1 (b) · 1 mark · Attempts to apply the vector to P3 coordinates. (follow-through)
A2 (b) · 1 mark · Correct coordinates for P3 after translation. (follow-through)
Worked solution
a) The translation vector is (4–2, (–2)–1) = (2, –3).
b) P3 is originally (6, 3). Add the vector (2, –3):