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by BlastRoom
Identify construction steps for inscribed equilateral triangles, squares, and regular hexagons.
#geometry
20 questions
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A circle has points A through F made by stepping the compass radius around the circumference from A. To construct an inscribed equilateral triangle, which vertices should be connected?
A compass set to a circle's radius marks equally spaced points around the circumference. Every other marked point is connected. What inscribed triangle is produced?
Diego inscribed an equilateral triangle in a circle of radius 4 cm by connecting every other radius-spaced point. How long is each side of the triangle?
An equilateral triangle is inscribed in circle O by joining alternate radius-stepped points on the circumference. What is the measure of the arc between two consecutive vertices of that triangle?
A student has radius-stepped marks on a circle and wants only the vertices of an equilateral triangle. What selection pattern should the student use?
In a radius-step construction, three alternate circumference points are chosen for a triangle. Why are the triangle's sides congruent?
A regular hexagon has been constructed inside a circle using the radius. What straightedge step creates an equilateral triangle from it?
A circle has center O and diameter AB. What construction step prepares the vertices of an inscribed square?
Two perpendicular diameters of a circle meet at center O. Their four endpoints on the circle are connected in order. What quadrilateral is inscribed?
Arcs drawn from both endpoints of diameter AB intersect above and below the circle when the compass openings match. The line through those arc intersections makes what?
Two perpendicular diameters are drawn in circle O, and their four endpoints are joined in order. Why are the four resulting chords congruent?
A square is inscribed in circle O. What is the length of each diagonal of that square?
To build an inscribed square, Maya marks one vertex at the top of a circle. Which construction creates the next vertex exactly 90 degrees away?
A circle has center O, and the compass is set to OA with A on the circumference. What compass action begins an inscribed regular hexagon?
A student is marking vertices for an inscribed regular hexagon by copying a chord around the circumference. What compass setting must stay unchanged?
Why does stepping a circle's radius around the circumference return to the start after exactly six equal steps?
Noah changes the compass width after the third mark while constructing an inscribed hexagon. What problem can this cause?
In circle O, points A and B are neighboring points made by stepping the radius. Segments OA, OB, and AB are drawn. What kind of triangle is OAB?
A student has marked all the radius-spaced points around a circle. What straightedge step draws the sides of the polygon those marks determine?
A construction draws a circle, keeps the compass width equal to its radius, copies that chord around the circumference, and connects neighboring marks. What is produced?
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40 questions
