Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 5
104 practice questions
Topics covered
Practice questions
61–70 of 104
Question 61
1 mark · Normal
Answer and see the solution →Write down the column vector that translates the point (–2, 5) to the point (1, 3).
Question 62
3 marks · Normal
Answer and see the solution →Triangle P is translated and then reflected. Triangle P with vertices A(1, 1), B(4, 1) and C(1, 4) is translated by the vector , then reflected in the line . Give the coordinates of the vertices after both transformations. Show all your working.
Question 63
3 marks · Normal
Answer and see the solution →The diagram shows trapezium Q with vertices at (2, 1), (6, 1), (6, 3), and (2, 3).
Trapezium Q 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?
(a)[1 mark]Write down the translation vector.
(b)[2 marks]Calculate the new coordinates of P3 after the translation.
Question 64
2 marks · Normal
Answer and see the solution →Describe fully the single transformation that maps the triangle with vertices (3, 2), (6, 2), (6, 5) onto the triangle with vertices (–3, 2), (–6, 2), (–6, 5).
Question 65
2 marks · Normal
Answer and see the solution →How are the object and the image related if a shape is reflected or rotated? Write one word.
Question 66
3 marks · Normal
Answer and see the solution →A shape is enlarged by a scale factor of 3 about the centre (0, 0). One vertex of the original shape is at (–2, 4). What are the coordinates of the corresponding vertex on the image? Show your working.
Question 67
2 marks · Normal
Answer and see the solution →A square has been enlarged by scale factor about the origin to produce a new square. The sides of the new square are 12 units long, and the original square's sides are 4 units long. Find the value of .
Question 68
2 marks · Normal
Answer and see the solution →Fill in the missing vector (column vector form) for each transformation based on the given movement:
Vector movements Point A Point B Movement (as a vector) (2, 5) (7, 3) (–1, 0) (2, –3) Question 69
4 marks · Hard
Answer and see the solution →A triangle has vertices at (1, 1), (3, 1), and (1, 4). The triangle is first reflected in the line y = x, and then the image is translated by the vector .
(a)Write down the coordinates of the triangle after the reflection.
(b)[2 marks]Write down the coordinates of the triangle after the translation.
(b)[2 marks]Write down the coordinates of the triangle after the translation.
(c)[0 marks]Question 70
3 marks · Hard
Answer and see the solution →Explain how you would distinguish between congruent and similar triangles on a coordinate grid. Give examples of a transformation that produces congruent triangles and one that produces similar triangles.