Transformations

Worksheet: Transformations

Name:Class:

Answer the questions.

1. When a point is reflected in the y-axis, which coordinate changes sign?
   a) Both coordinatesb) Neither coordinatec) The x-coordinated) The y-coordinate
2. The point (2, 3) is reflected in the vertical line x = 4. Where is its image?
   a) (-2, 3)b) (2, 5)c) (3, 6)d) (6, 3)
3. When a shape is reflected in a mirror line, its image is the same size as the original.
   a) Trueb) False
4. Which statement is true for any point and its image in a reflection?
   a) Both are the same distance from the mirror lineb) The image always lies on the mirror linec) The image is closer to the mirror lined) The image is twice as far from the mirror line
5. Which turn about a point is the same as a half turn?
   a) 180°b) 270°c) 360°d) 90°
6. Point (3, 1) is rotated 90° anticlockwise about the origin (0, 0). Where does it land?
7. The centre of rotation is the one point that does not move.
   a) Trueb) False
8. Translate the point (1, 2) by the vector (3, -4), where 3 is right and -4 is down. Result?
   a) (-2, 4)b) (-3, 6)c) (4, -2)d) (4, 6)
9. A translation moves (5, 5) to (2, 9). What is the vector?
10. A rectangle 2 cm by 3 cm is enlarged by scale factor 4. What are its new sides?
    a) 4 cm by 6 cmb) 6 cm by 7 cmc) 8 cm by 12 cmd) 8 cm by 3 cm
11. An enlargement with a positive scale factor makes the image smaller. The scale factor is…
    a) between 0 and 1b) exactly 1c) greater than 1d) less than 0
12. After an enlargement with scale factor 3, every angle in the shape is multiplied by 3.
    a) Trueb) False
13. A line of length 15 cm is the image after enlarging by scale factor 5. What was the original length?
    a) 10 cmb) 20 cmc) 3 cmd) 75 cm
14. Which transformation can change the size of a shape?
    a) Enlargementb) Reflectionc) Rotationd) Translation
15. Two shapes are exactly the same shape and size. What word describes them?
16. Two similar triangles: a 4 cm side in the smaller matches 10 cm in the larger. Scale factor?
    a) 0.4b) 1.5c) 2.5d) 6