If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

Yes

Step-by-step explanation:

Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.

Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates

Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations

Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)