Question

Describe at least two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line.

Answer 1

A perpendicular line is a required line that should be drawn at an angle of $90^{o}$ a given line. Thus some of the similarities that can be observed are:

i. The perpendicular line is at a right angle to the given line in each case considered.

ii. The perpendicular line may not be a bisector of the given line in each case.

iii. The perpendicular line intersects the given line at a point in each case.

A line is said to be perpendicular if it forms a right angle to a given line. Such that it intersects the given line at a point, and an angle $90^{o}$ is made at that point.

In the given question, the perpendicular lines referred to are not said to be bisectors, thus just at a right angle to a given line. A bisector is a line that cuts a given line into two equal parts.

Therefore, some required similarities between the two lines are:

• The perpendicular line is at a right angle to the given line in each case considered.
• The perpendicular line may not be a bisector of the given line in each case.
• The perpendicular line intersects the given line at a point in each case.

For more clarifications on perpendicular lines to a given line, visit: brainly.com/question/12923440

#SPJ1