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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. Find the image of point F(1, 5) under a 90° clockwise rotation about the origin O(0,0).

  1. (5, -1)
  2. (-5, 1)
  3. (-1, 5)
  4. (5, 1)
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Answer: A

A 90° clockwise rotation about origin maps (x, y) -> (y, -x). Thus, (1, 5) becomes (5, -1).

2. What is the image of point B(4, -3) when reflected in the x-axis?

  1. (4, 3)
  2. (-4, -3)
  3. (-4, 3)
  4. (-3, 4)
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Answer: A

Reflection in the x-axis keeps the x-coordinate same and negates the y-coordinate: (x, y) -> (x, -y), so (4, -3) becomes (4, 3).

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)
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Answer: A

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

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

  1. Translation
  2. Reflection
  3. Gliding reflection
  4. All reflections
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Answer: A

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

5. 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)
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Answer: A

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

6. Find the image of point G(-3, 4) under a 90° counterclockwise rotation about origin O(0,0).

  1. (-4, -3)
  2. (4, 3)
  3. (3, -4)
  4. (-4, 3)
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Answer: A

A 90° counterclockwise rotation maps (x, y) -> (-y, x). So (-3, 4) becomes (-4, -3).

7. What is the order of rotational symmetry of an isosceles triangle?

  1. 1
  2. 2
  3. 3
  4. 0
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Answer: A

An isosceles triangle only maps onto itself after a full 360° turn, so its order of rotational symmetry is 1.

8. What is the order of rotational symmetry of a regular hexagon?

  1. 6
  2. 3
  3. 12
  4. 1
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Answer: A

A regular n-gon has an order of rotational symmetry equal to n. For a hexagon, n = 6.

9. 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
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Answer: A

Congruence requires both identical geometric shape and identical physical size.

10. 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).

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