Position and transformation Quiz - Mathematics Geometry and Measure

Free practice quiz: Position and transformation (Mathematics Geometry and Measure). 12 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Geometry and Measure practice quiz has 12 multiple-choice questions on Position and transformation, and 12 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. The bearing of B from A is 040°. What is the bearing of A from B?

   1. 140°
   2. 040°
   3. 220°
   4. 320°
   Show answer

   Answer: C. 220°

   Add or subtract 180°: 40 + 180 = 220.

2. A bearing of 270° means direction:

   1. west
   2. north
   3. south
   4. east
   Show answer

   Answer: A. west

   270° is 3/4 of a turn clockwise from north, which is west.

3. Find the midpoint of (−3, 1) and (5, 7)

   1. (2, 4)
   2. (1, 3)
   3. (1, 4)
   4. (4, 8)
   Show answer

   Answer: C. (1, 4)

   x: (−3 + 5)/2 = 1. y: (1 + 7)/2 = 4.

4. After a translation, is the image congruent to the object?

   1. no, it is enlarged
   2. yes, same size and shape
   3. no, it is rotated
   4. yes, but reversed
   Show answer

   Answer: B. yes, same size and shape

   Translation keeps size, shape and orientation.

5. Reflect (3, 1) in the line y = x

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

   Answer: D. (1, 3)

   Reflection in y = x swaps the coordinates.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Bearings are measured clockwise from:
2. Find the midpoint of (2, 4) and (8, 10)
3. Find the midpoint of (0, −6) and (4, 2)
4. Translate (2, 3) by the vector (4, −1)
5. A point (0, 0) is translated by vector (−2, 5). Find the image.
6. Reflect (1, 5) in the line y = −x
7. Which three pieces of information define a rotation?

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