arrow_backBack to Study Resources

Quiz Chapter 5: Congruency, Enlargement and Combined Transformations

10 questions · Form 5 Mathematics Bab 5: Congruency, Enlargement and Combined 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. Triangle PQR undergoes a rotation of 90° clockwise about the origin. If P is at (3, 1), what are the coordinates of its image P'?

  1. A. (1, -3)
  2. B. (-1, 3)
  3. C. (-3, -1)
  4. D. (3, -1)
Show answer

Answer: A

A 90° clockwise rotation about the origin transforms (x, y) into (y, -x). Thus, (3, 1) becomes (1, -3).

2. If triangle ABC is congruent to triangle DEF, which statement must be true?

  1. A. Corresponding angles are equal and corresponding sides are equal in length
  2. B. Triangle DEF is twice as large as triangle ABC
  3. C. The areas of the two triangles are different
  4. D. The orientations are always reversed
Show answer

Answer: A

Congruent shapes are identical in both shape and size; all corresponding angles and sides are equal.

3. In a diagram, shape Q is the image of shape P under an enlargement with scale factor k = 4. If the area of shape Q is 160 cm², calculate the area of the shaded region representing Q excluding P.

  1. B. 150 cm²
  2. A. 10 cm²
  3. C. 140 cm²
  4. D. 120 cm²
Show answer

Answer: B

Area of Q = k² × Area of P => 160 = 16 × Area of P => Area of P = 10 cm². Area of Shaded Region = Area of Q - Area of P = 160 - 10 = 150 cm².

4. What is a pattern called when repeated geometric shapes cover a surface completely without gaps or overlaps?

  1. A. Tessellation
  2. B. Differentiation
  3. C. Interpolation
  4. D. Extrapolation
Show answer

Answer: A

A tessellation is a tiling pattern made of repeating shapes covering a plane without gaps or overlaps.

5. Under a combined transformation MN acting on shape P, which transformation is applied first?

  1. B. Transformation N
  2. A. Transformation M
  3. C. Both M and N simultaneously
  4. D. Neither transformation
Show answer

Answer: B

In combined transformation notation MN(P), the transformation written on the right (N) is executed first, followed by M.

6. An object has an area of 15 cm². It is enlarged with a scale factor of k = -3. What is the area of the resulting image?

  1. A. 135 cm²
  2. B. -135 cm²
  3. C. 45 cm²
  4. D. -45 cm²
Show answer

Answer: A

Area of Image = k² × Area of Object = (-3)² × 15 = 9 × 15 = 135 cm². (Area is always positive).

7. What does a negative scale factor (e.g., k = -2) indicate about the image under an enlargement?

  1. A. The image is inverted and lies on the opposite side of the center of enlargement
  2. B. The image is smaller than the original object
  3. C. The image is located at the origin (0,0)
  4. D. The image disappears completely
Show answer

Answer: A

A negative scale factor produces an inverted image on the opposite side of the center of enlargement.

8. Which of the following scale factors represents an enlargement that produces an image smaller than the object without inversion?

  1. C. k = 13
  2. A. k = 3
  3. B. k = -2
  4. D. k = -12
Show answer

Answer: C

When 0 < k < 1, the image is smaller than the object and retains the same orientation.

9. A shape with an area of 25 cm² is enlarged to an image with an area of 4 cm². What is the scale factor k (where k > 0)?

  1. B. k = 25
  2. A. k = 52
  3. C. k = 425
  4. D. k = 254
Show answer

Answer: B

k² = Area of Image / Area of Object = 425. Thus, k = √(425) = 25 = 0.4.

10. Point A(2, 3) is mapped to A'(6, 3) under a translation. What is the translation vector?

  1. A. (4, 0)
  2. B. (0, 4)
  3. C. (-4, 0)
  4. D. (4, 4)
Show answer

Answer: A

Vector = (x' - x, y' - y) = (6 - 2, 3 - 3) = (4, 0).

Sponsored