Question

A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. What transformations were applied to the building at site A to relocate the building to site B? Did the mayor change the size or orientation of the library?

The building at site A was translated _______ unit (s)right and _______ unit(s) down, then it was reflected across the x or y (select) - axis.

The size was or was not (select) changed.
The orientation was or was not (select) changed.​

Answer 1

2 right, 4 down, y-axis

Explanation:

Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.

__

We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.

If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.

The building at site A was translated 2 units right and 4 units down; then it was reflected across the y-axis .