Question

In the given plan, the transformation from the old City Hall in blue to the new one in orange involves two similarity transformations. What are the two similarity transformations used to get from the blue shape to the orange one?

A) Translation and reflection
B) Rotation and dilation
C) Translation and dilation
D) Reflection and rotation

Answer 1

The two similarity transformations used to move from the old City Hall in blue to the new one in orange are translation and dilation, which correspond to moving the shape to a new location without rotation or flip and changing its size while preserving its shape.

The answer is option ⇒C) Translation and dilation

Step-by-step explanation:

To answer the question about the transformations used to change the old City Hall represented in blue to the new one represented in orange, we need to identify the changes in size and position between the two shapes. When a geometric figure is moved from one location to another without any rotation or flip, it is called a translation.

If the figure's size changes but its shape does not, it's known as a dilation. Given that the new City Hall is an enlargement or reduction of the old City Hall and has been moved to a different location without being rotated or reflected, the two similarity transformations involved are translation and dilation.

This matches option C) Translation and dilation.