Which sequence of transformations would maintain congruence? (choose 3)

Question

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

Answer 1

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.