Question

When constructing inscribed polygons, how can you be sure the figure inscribed is a regular polygon?

Answer 1

A. Check the distance between the angles with a straightedge.
B. Check the length of each side of the polygon with a compass.
C. See if the diameter is the same as the length of the sides with a compass.
D. There is no way to ensure you have constructed a regular polygon.

Answer 2

By definition, a regular polygon has all sides the same length, all angles the same measure, and all angles are concave.

Which one matches one of the options you have?

Answer 3

C?

Answer 4

Actually, one of them says that 'check the length of each side with a compass'

And we know that all sides must be the same so....

Answer 5

B?

Answer 6

Yeah, cuz it mentioned about checking the length of the sides. (Basically seeing if they're the same or not)

Answer 7

Oh... Okay thanks!

When constructing perpendicular lines with a compass and straightedge, how should you start the construction?
A. Open the compass and mark two points of intersection between arcs from the given line.
B. Use a straightedge to find the length of the given line and then make an arc above it.
C. Open the compass to the width of the original line to measure it.
D. Use a straightedge to create two arcs above and below the original line.