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Quiz Chapter 5: Congruency, Enlargement and Combined Transformations

10 questions · Form 5 Mathematics Bab 5: Congruency, Enlargement and Combined Transformations

Question 1 of 10Score: 0

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

Full Question List & Answer Key

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

1. 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
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Answer: A

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

2. If a transformation maps a shape onto an image such that orientation is reversed but size and shape remain unchanged, the transformation is a...

  1. B. Reflection
  2. A. Rotation
  3. C. Translation
  4. D. Enlargement
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Answer: B

Reflection preserves distance and shape (isometry) but reverses the orientation (lateral inversion) of the shape.

3. 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
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Answer: B

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

4. 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
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Answer: A

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

5. Why does the criterion Angle-Angle-Angle (AAA) NOT prove that two triangles are congruent?

  1. A. It proves similarity, but not that the side lengths are equal
  2. B. Angles in a triangle never sum to 180°
  3. C. Triangles with equal angles always have different shapes
  4. D. AAA is actually a valid congruency criterion
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Answer: A

AAA guarantees that two triangles have the same shape (similar), but their sizes can differ, so they are not necessarily congruent.

6. 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
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Answer: A

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

7. Which of the following transformations is NOT an isometry?

  1. A. Enlargement
  2. B. Translation
  3. C. Reflection
  4. D. Rotation
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Answer: A

Enlargement changes the size of the shape (unless k = 1), so it is not an isometry. Translation, reflection, and rotation preserve both shape and size.

8. If an object with a side length of 6 cm is enlarged with a scale factor of k = 3, what is the side length of the image?

  1. A. 18 cm
  2. B. 2 cm
  3. C. 12 cm
  4. D. 36 cm
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Answer: A

Image Side Length = |k| × Object Side Length = 3 × 6 cm = 18 cm.

9. 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
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Answer: A

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

10. 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)
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Answer: A

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

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