Position and transformation Quiz - Mathematics Geometry and Measure

Free practice quiz: Position and transformation (Mathematics Geometry and Measure). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Geometry and Measure practice quiz has 15 multiple-choice questions on Position and transformation, and 15 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Reflect (2, −4) in the x-axis

   1. (2, 4)
   2. (−2, −4)
   3. (−2, 4)
   4. (4, 2)
   Show answer

   Answer: A. (2, 4)

   Reflection in the x-axis changes the sign of y.

2. Enlarge (3, 1) by scale factor 2 from the origin

   1. (5, 3)
   2. (6, 2)
   3. (3, 2)
   4. (1.5, 0.5)
   Show answer

   Answer: B. (6, 2)

   Multiply each coordinate by 2.

3. A map has scale 1 cm : 5 km. Two towns are 4 cm apart on the map. What is the real distance?

   1. 9 km
   2. 20 km
   3. 0.8 km
   4. 25 km
   Show answer

   Answer: B. 20 km

   Each 1 cm is 5 km. 4 × 5 = 20 km.

4. Find the distance between (2, 5) and (9, 5).

   1. 7
   2. 5
   3. 11
   4. 18
   Show answer

   Answer: A. 7

   The y-coordinates match, so subtract the x-coordinates: 9 − 2 = 7.

5. A shape is translated 3 units right and 2 units up. Point A (1, 1) moves to A'. What are the coordinates of A'?

   1. (4, −1)
   2. (−2, 3)
   3. (3, 2)
   4. (4, 3)
   Show answer

   Answer: D. (4, 3)

   Add 3 to x and 2 to y: (1 + 3, 1 + 2) = (4, 3).

More questions in this quiz

Answers and explanations are in the full quiz.

1. Rotate (1, 0) by 90° anticlockwise about the origin
2. Rotate (2, 3) by 180° about the origin
3. A length of 4 cm is enlarged by scale factor 3. The new length is:
4. Enlarge a length of 2 cm by scale factor 4. New length?
5. A plan has scale 1 : 100. A wall is 5 cm long on the plan. What is its real length?
6. On a map, 2 cm represents 10 km. How many km does 7 cm represent?
7. Find the distance between (−3, 4) and (−3, −2).
8. Point A is (−5, 2) and point B is (3, 2). How far apart are they?
9. A translation moves P (2, 6) to P' (5, 4). Where does Q (0, 0) move to?
10. Under a translation, B (4, 1) maps to B' (1, 5). Which description matches?

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