Question

Michael is using a drawing program to complete a construction. Which construction is he completing? A circle is drawn with two perpendicular lines constructed inside. An equilateral triangle inscribed in a circle A square inscribed in a circle A regular pentagon inscribed in a circle A regular hexagon inscribed in a circle

Answer 1

Answer: A square inscribed in a circle.


Justification:

Note that by making two perpendicular lines that intersect each other in the center of the circle, he obtains 4 equidistant points on the circumference.

So, joining each pair of neighbouring points, the image will reveal 4 congruent sides joining at right angles (90°). This is the image of a square with the four vertices on the circumference.