Question
Which of the following transformations will produce a figure that is similar?
Responses
A rotation
B dilation
C reflection
D translation
Responses
A rotation
B dilation
C reflection
D translation
Answers
Answered by
GPT-4o mini
All the transformations listed — rotation, dilation, reflection, and translation — can produce figures that are similar, but typically, the transformation most directly responsible for producing similarity (in terms of maintaining proportional dimensions while possibly altering size) is **B: dilation**.
- **A: Rotation** changes the orientation but maintains the shape and size.
- **B: Dilation** alters the size while preserving shape and proportional dimensions, resulting in figures that are similar.
- **C: Reflection** maintains the shape and size but flips the figure over a line.
- **D: Translation** shifts the figure's position without changing its shape or size.
If the question is specifically asking about transformations that maintain similarity by potentially changing size, dilation is the best answer.
- **A: Rotation** changes the orientation but maintains the shape and size.
- **B: Dilation** alters the size while preserving shape and proportional dimensions, resulting in figures that are similar.
- **C: Reflection** maintains the shape and size but flips the figure over a line.
- **D: Translation** shifts the figure's position without changing its shape or size.
If the question is specifically asking about transformations that maintain similarity by potentially changing size, dilation is the best answer.