arrow_backBack to Study Resources

Quiz Chapter 11: Isometric Transformations

10 questions · Form 2 Mathematics Bab 7: Isometric Transformations

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Which transformation preserves orientation as well as shape and size?

  1. Translation
  2. Reflection
  3. Gliding reflection
  4. All reflections
Show answer

Answer: A

Translation moves all points in the same direction, maintaining orientation (unlike reflection which reverses orientation).

2. If the image of point K(x, y) under translation (-3, 5)^T is K'(2, 1), find the original coordinates of K.

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

Answer: A

x - 3 = 2 => x = 5; y + 5 = 1 => y = -4. Thus, K is (5, -4).

3. Find the image of point D(2, 6) under a reflection in the line y = x.

  1. (6, 2)
  2. (-2, -6)
  3. (-6, -2)
  4. (2, -6)
Show answer

Answer: A

Reflection in line y = x swaps x and y coordinates: (x, y) -> (y, x), so (2, 6) becomes (6, 2).

4. Two geometric figures are congruent if they have:

  1. The same shape and same size
  2. The same shape but different sizes
  3. The same perimeter but different shapes
  4. The same area but different shapes
Show answer

Answer: A

Congruence requires both identical geometric shape and identical physical size.

5. A point M(4, -2) is reflected in line x = 3. What are the coordinates of its image M'?

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

Answer: A

Distance from x = 4 to x = 3 is 1 unit left. The image lies 1 unit left of x = 3, which is x = 2. So M' is (2, -2).

6. Find the image of C(-5, 2) under a reflection in the y-axis.

  1. (5, 2)
  2. (-5, -2)
  3. (5, -2)
  4. (2, -5)
Show answer

Answer: A

Reflection in the y-axis negates the x-coordinate: (x, y) -> (-x, y), so (-5, 2) becomes (5, 2).

7. Point N(1, 5) is reflected in line y = 2. Find the coordinates of image N'.

  1. (1, -1)
  2. (1, 1)
  3. (1, -2)
  4. (-1, 5)
Show answer

Answer: A

Distance from y = 5 to y = 2 is 3 units down. Image is 3 units below y = 2, which is y = -1. N' is (1, -1).

8. Point P(-2, 7) is mapped to P'(3, 2) under a translation. Find the translation vector.

  1. (5, -5)^T
  2. (-5, 5)^T
  3. (1, 9)^T
  4. (-1, 5)^T
Show answer

Answer: A

a = 3 - (-2) = 5; b = 2 - 7 = -5. The translation vector is (5, -5)^T.

9. Under a rotation of 270° clockwise about origin, point (2, 3) is mapped to:

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

Answer: A

270° clockwise rotation is equivalent to 90° counterclockwise rotation, mapping (x, y) -> (-y, x). So (2, 3) becomes (-3, 2).

10. What are the coordinates of point E(3, 4) after a rotation of 180° about the origin O(0,0)?

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

Answer: A

A 180° rotation about the origin changes (x, y) to (-x, -y), giving E'(-3, -4).

Sponsored