1. which of the following steps is included in the construction of a perpendicular line through a point off the line?
connect arcs above the line with arcs below the given line with a straightedge.
connect arcs that are either above or below the original line and a point off the line with a straightedge.
create arcs on either side of a point that is off the given line.
create a copied angle by using the first two lines as the original angle.
2. when constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular?
check the angles used in the construction with a straightedge to ensure consistency.
check the distance along the lines at several places with a compass to ensure they are the same length.
check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles.
check the distance between the lines at several places with a compass to ensure they are equidistant.
3. when constructing an inscribed square, which step comes after constructing a circle?
set compass to the diameter of the circle.
set compass to the radius of the circle.
use a straightedge to draw a diameter of the circle.
use a straightedge to draw the radius of the circle.
4. which step is the same when constructing an inscribed square and an inscribed regular hexagon?
construct a circle first.
construct a line first.
set the compass to the radius.
set the compass to greater than half the diameter.
5. which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line?
create only one arc that intersects the original line.
create two arcs that intersect the original line.
place the compass on a point off the original line.
place the compass on a point on the original line.
6. what is the difference between constructing a square and constructing a regular hexagon?
the diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.
the radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.
the square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
the square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.