Question
Which sequence of transformations would maintain congruence? (choose 3)
Responses
A Translation followed by rotationTranslation followed by rotation
B Dilation followed by a reflectionDilation followed by a reflection
C Rotation followed by a reflectionRotation followed by a reflection
D Rotation followed by a dilationRotation followed by a dilation
E Reflection followed by translation
Responses
A Translation followed by rotationTranslation followed by rotation
B Dilation followed by a reflectionDilation followed by a reflection
C Rotation followed by a reflectionRotation followed by a reflection
D Rotation followed by a dilationRotation followed by a dilation
E Reflection followed by translation
Answers
GPT-4o mini
To maintain congruence in a geometric transformation, the transformation must preserve the size and shape of the figure. The transformations that maintain congruence are:
A. Translation followed by rotation
C. Rotation followed by a reflection
E. Reflection followed by translation
These transformations do not alter the dimensions or angles of the original figure, thus maintaining congruence.
**So the correct answers are A, C, and E.**
A. Translation followed by rotation
C. Rotation followed by a reflection
E. Reflection followed by translation
These transformations do not alter the dimensions or angles of the original figure, thus maintaining congruence.
**So the correct answers are A, C, and E.**