Construct Regular Polygons

Question 1

Which step do the constructions of a regular hexagon, a square, and an equilateral triangle inscribed in a circle all have in common?

Revolt · Accepted Answer

Construct an arc using an endpoint of the diameter and the center of the circle.

Question 2

Which of the following explains why all circles are similar?

Revolt · Accepted Answer

All circles have the same shape but different radii.

Question 3

Which of the following shows an equilateral triangle inscribed in a circle?

Revolt · Accepted Answer

mc002-4.jpg

Question 4

The circumferences of two circles are in the ratio of 2:5. The radius of the smaller circle is 16 in. What is the radius of the larger circle?

Revolt · Accepted Answer

40 in.

Question 5

Which of the following is a step used to inscribe a square in a circle?

Revolt · Accepted Answer

Construct an arc by placing the point of the compass on an endpoint of the diameter and the pencil on the center of the circle.

Question 6

One circle has a circumference of cm. Another circle has a circumference of cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?

Revolt · Accepted Answer

3:8

Question 7

Horatio drew a circle with a radius of 6x cm. Kelli drew a circle with a radius of 18y cm. What is the scale factor between these two circles?

Revolt · Accepted Answer

mc015-1.jpg

Question 8

The ratio of the diameters of two circles is 3:5. The circumference of the larger circle is approximately 113.1 m. What is the approximate circumference of the smaller circle?

Revolt · Accepted Answer

67.9 m

Question 9

Below is a list of the steps used to construct a square inscribed in a circle. Step M - Place the compass point at the endpoint of the diameter and the pencil at the center of the circle to construct an arc.Step N - Draw in two diameters using the points where the small arc intersects the line segments and the center.Step O - Construct a small arc by placing the compass point where the diameter intersects the line segment and the pencil on the center of the circle.Step P - Construct a line segment between the two points where the arc intersects the circle.Step Q - Draw line segments between the four points where the two constructed diameters intersect the circle.Which list shows these steps in the correct order?

Revolt · Accepted Answer

M, P, O, N, Q

Question 10

What is the first step when inscribing a square, equilateral triangle, or hexagon in a circle?

Revolt · Accepted Answer

Draw a circle around a diameter.

Construct Regular Polygons Answers

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