Transformations Quiz
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5 questions, one answer each
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1. Triangle ABC has sides of 3 cm, 4 cm and 5 cm. Triangle DEF has sides of 6 cm, 8 cm and 10 cm. Which congruence or similarity condition applies?
- A. The triangles are congruent by SSS
- B. The triangles are similar by SSS
- C. The triangles are congruent by SAS
- D. The triangles are neither congruent nor similar
2. A shape is enlarged by a scale factor of -2 from a fixed point. What happens to the shape?
- A. It doubles in size and is reflected
- B. It halves in size and is reflected
- C. It doubles in size and rotates 180°
- D. It doubles in size on the opposite side of the centre and is rotated 180°
3. Describe the single transformation that maps point (2, 3) to point (2, -3).
- A. Reflection in the x-axis
- B. Reflection in the y-axis
- C. Translation by vector (0, -6)
- D. Rotation 180° about the origin
4. Two similar cones have heights in the ratio 2:5. If the smaller cone has a volume of 40 cm³, what is the volume of the larger cone?
- A. 100 cm³
- B. 200 cm³
- C. 500 cm³
- D. 625 cm³
5. A rectangle with dimensions 4 cm by 6 cm is translated by vector (3, -2), then reflected in the y-axis. Which statement about the final shape is correct?
- A. It is congruent to the original rectangle with dimensions 4 cm by 6 cm
- B. It is similar but not congruent to the original rectangle
- C. It has been enlarged by a scale factor of 1
- D. Its dimensions have changed to 3 cm by 4 cm