Question

which construction is being constructed in the image

a. a parallel line to give a line through a point not on the other line
b.a perpendicular bisector of a line segment
c.a line perpendicular to a given line through the point not at the line
d. a line segment that is congruent to the given segment

Answer 1

To find an image of a point, we need to draw a perpendicular line from the point through a given line.
So the answer is b.
According to answer a.  a parallel line drawn through a point can never determine the exact point. Either the value of x or that of y may vary.
According to answer c.  a perpendicular line is drawn from the given point but does not pass through the line used as reflector, this cannot provide the image.
According to d. any congruent line segment drawn anywhere can provide the image which is incorrect as the initial point might not be considered.