Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 5
18 practice questions
Practice questions
1–3 of 3 · Hard
Question 1
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 2
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.
Question 3
5 marks · Hard
Answer and see the solution →Shape A has vertices at (–4, 1), (–1, 1), and (–4, 4). Shape A is enlarged by scale factor k about the origin to produce shape B, which has one vertex at (–8, 2).
(a)[2 marks]Find the value of the scale factor k.
(b)[3 marks]Write down the coordinates of the other two vertices of shape B.