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Which of the following is being constructed in the image?

O a line parallel to a given line through a point not on the line
O a line perpendicular to a given line through a point not on the line
O a line segment that is congruent to a given line segment
O a perpendicular bisector of a line segment

Parallel means to lines with the same slope, they never intersect, ever, they always remain next to each other and never touch. This is true for the picture

Choice 2

Perpendicular means that two lines intersect at a right angle, however upon looking at the picture you can see this is not a right angle, but an acute angle. So it is not perpendicular.

Choice 3

A Line Segment means a line with dots on either end, symbolizing the end of the line. This is not a line segment because there are arrows on the ends, indicating these lines go on forever. This is not a segment

Choice 4

We already determined this is neither a segment nor perpendicular so it cannot be this choice

This leaves us with Choice 1.

I hope this helps!

Please give thanks and brainliest!

MrRoyal MrRoyal · Answer 2 · 2021-11-04T12:29:00+01:00

Lines, angles, and shapes can be constructed using a compass and a straightedge.

The construction in the image is (a) a line parallel to a given line through a point not on the line

From the attached image, we have the following highlights

A transversal cuts through the line and the dotted line
The transversal is not perpendicular to any of the lines.
The lines may or may not be congruent
The line and the dotted line have the same orientation

The above highlights means that:

The construction in the image is a parallel line.

Hence, the true statement is (a)

Read more about line constructions at:

https://brainly.com/question/19449402