Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 5
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Write down the equation of the line that is the mirror line for a reflection in the x-axis.
Question 2
1 mark · Easy
Answer and see the solution →What is the scale factor of an enlargement if a triangle with side length 3 is enlarged to make a triangle with side length 6?
Question 3
2 marks · Easy
Answer and see the solution →A triangle has vertices at (1, 2), (3, 2) and (1, 4). It is translated by the vector .
(a)[1 mark]Write the coordinates of the image of the vertex (1, 2) after the translation.
(b)[1 mark]State one property of the triangle that is unchanged by this translation.
Question 4
1 mark · Easy
Answer and see the solution →A triangle is reflected in the y-axis. The image of the point (–4, 5) is point A. What are the coordinates of point A?
Question 5
1 mark · Easy
Answer and see the solution →Write the column vector that translates the point (0, –2) to the point (3, 4).
Question 6
1 mark · Easy
Answer and check →Which transformation always preserves shape and size?
- A.Reflection
- B.Translation
- C.Rotation
- D.All of the above
Question 7
1 mark · Easy
Answer and see the solution →Two rectangles are similar. Rectangle X has sides 4 cm and 7 cm. Rectangle Y has sides 8 cm and k cm. Work out the value of k.
Question 8
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 9
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 10
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.