Which describes the compositions of 3 reflections in three distinct lines, two of which are parallel?

a. dilation
b. rotation
c. glide reflection
d. translation

Is the correct answer c. glide reflection?

glide reflection

The function rule T–4, 6(x, y) could be used to describe which translation?

To determine the correct answer, let's understand the properties of each transformation.

a. Dilation: A dilation is a transformation that changes the size of an object, but not its shape. It involves scaling the object by a certain factor from a fixed center.

b. Rotation: A rotation is a transformation that turns an object around a fixed point called the center of rotation by a certain angle.

c. Glide reflection: A glide reflection is a combination of a reflection and a translation. It involves reflecting an object across a line and then sliding it horizontally or vertically.

d. Translation: A translation is a transformation that slides an object from one location to another without changing its shape or orientation.

Based on the given information that there are three reflections in three distinct lines, two of which are parallel, we can rule out dilation, rotation, and translation since they do not involve multiple reflections.

The correct answer is c. Glide reflection, as it includes both reflections and translations.