Geometry 3b: Mastery Questions
Guidance Notes - To answer each question, click on the letter that corresponds to the correct answer. You then need to click the 'Check' button to see if you are correct. If your answer is incorrect, you will be given a hint on how to get the correct answer. You then need to click the 'Try again' button to attempt the question once more.
1. Which vector correctly describes the single translation that moves triangle 1 to triangle 3 in Fig. 1?

  A  
  B  
  C  
  D  
41
51
-5-1
15
    
2. Which vector correctly describes the single translation that moves triangle 2 to triangle 3 in Fig. 1 (above)?

  A  
  B  
  C  
  D  
54
4-5
-4-5
-45
    
3. Reflecting the triangle LMN (Fig. 2) in which line leaves exactly two vertices unchanged (invariant)?

  A  
  B  
  C  
  D  
1
2
3
4
    
4. If the LMN in Fig. 2 (above) is reflected in the line 3, what are the coordinates of L'?

  A  
  B  
  C  
  D  
(-4, 3)
(3, 4)
(3, -4)
(4, -3)
    
5. If triangle 1 in Fig.3 is reflected in the line x = 1, which triangle is the image of triangle 1?

  A     B     C     D  
1
2
3
4
    
6. If the shape EFGH in Fig. 4 is reflected in the line y = -1, what are the coordinates of F'?

  A  
  B  
  C  
  D  
(1, 1)
(6, 1)
(3, -1)
(-3, -3)
    
7. If the triangle LMN in Fig.5 is rotated about the origin through 180°, what are the coordinates of M'?

  A  
  B  
  C  
  D  
(-4, -1)
(4, -1)
(2, -1)
(-2, -1)
    
8. If the triangle LMN in Fig.5 (above) is rotated 90° anticlockwise about the origin, what are the coordinates of N'?

  A  
  B  
  C  
  D  
(1, 2)
(-2, -1)
(2, 1)
(-1, -2)
    
9. If the triangle LMN in Fig. 5 (above) is rotated 90° clockwise about N, what are the coordinates of L'?

  A  
  B  
  C  
  D  
(1, 3)
(-2, 3)
(-2, -2)
(0, -2)
    
10. The rectangle PQRS in Fig. 6 has been rotated through 90° anticlockwise onto the shape P'Q'R'S'. What are the coordinates of the centre of rotation?

  A  
  B  
  C  
  D  
(1, -1)
(3, -2)
(1, -2)
(2, -2)
    
11. Shape 1 has been transformed into shape 2 in Fig. 7. How is this transformation best described?

  A  
A translation
   B  
An enlargement, scale
factor 2.
  C  
An enlargement, scale
factor 0.5.
   D  
A translation and an
enlargement.
     
12. A model bus has a scale of 1: 40. If the height of the bus is 4.4m, how tall is the model?

  A  
  1.1 m  
   B  
  10 cm  
  C  
  0.1 m  
   D  
  11 cm  
    
13. The scale on a map is 1 cm represents 20 miles. If the distance between Plymouth and Norwich on the map is 16 cm, how far is it?

  A  
80 miles
   B  
800 miles
  C  
320 miles
   D  
32 miles
     
14. A scale of 1:100000 is equivalent to:

  A  
1 cm to 1 m
   B  
1 cm to 1 km
  C  
1 mm to 1 m
   D  
1 mm to 1 km
    
15. The actual distance between London and Tokyo is approximately 9500 km. If the scale of a map is 1: 80 000 000, what is the approximate distance between the two cities on the map?

  A  
  B  
  C  
  D  
11 cm
110 cm
12 cm
120 cm
    
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