The line segment is dilated by a factor of 1/2 with respect to the origin. what is the length of the dilated line segment?

a. 1 unit

b. 2 units

c. 3 units

d. 4 units

A dilation is a transformation that produces an image that is the same shape as the original, but different size. A dilation stretches or shrinks the original figure.
In this case the scale factor is 1/2, therefore the image will be smaller than the original line.
Original line is 4 units
The dilated line segment will be 1/2 x 4 = 2 units

The angles of an equilateral triangle are always 60°