Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

you can draw a regular hexagon using only a straightedge and compass. a…

Question

you can draw a regular hexagon using only a straightedge and compass. a. true b. false

Explanation:

Step1: Understanding a regular hexagon

A regular hexagon has six equal sides and six equal angles.

Step2: Using compass and straightedge

  • Use the compass to draw a circle.
  • Without changing the compass width (radius of the circle), place the compass point on the circumference of the circle and mark off arcs around the circle.
  • Use the straightedge to connect the intersection points of these arcs. This forms a regular hexagon as the side length of the hexagon is equal to the radius of the circle (in a regular hexagon inscribed in a circle, the side - length \(s = r\), where \(r\) is the radius of the circum - circle).

Answer:

A. True