Question

Which transformation would result in the same image as a composition transformation of reflections across intersecting lines?(1 point)
Responses which answer is correct and why

a rotation
a rotation

a translation
a translation

a reflection
a reflection

a dilation

Answer 1

The correct answer is **a rotation**.

**Explanation:** When you perform a composition of reflections across two intersecting lines, the result is equivalent to a single rotation around the point of intersection of those lines. The angle of rotation is twice the angle between the two lines. This means that the overall effect of reflecting an image across two intersecting lines is the same as rotating that image around their intersection point by a certain angle, making rotation the appropriate transformation that results in the same image.

In contrast, a translation would move the image without changing its orientation, a reflection would flip the image across another line but not necessarily match the results of the two original reflections, and a dilation would change the size of the image.