A double reflection of a preimage across perpendicular lines produces the same result as a 270 degree rotation.
When an object is reflected across two intersecting lines (that are perpendicular), the result is equivalent to a rotation of 90 degrees. This means that if you reflect twice (once across each line), it effectively results in a 180-degree rotation.
However, if you reflect an object across two lines that intersect at a right angle, the first reflection rotates the object 90 degrees, and the second reflection (since it is also a 90-degree rotation around the intersection point) results in the object rotating a total of 180 degrees. But, according to the options given and recognizing that double reflection adds up to this type of rotation.
So, the correct response is:
- 180 degree rotation.
Thus, 180 degree rotation is indeed the correct answer.