Construct Regular Polygons Answers

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If the scale factor between two circles is what is the ratio of their areas?

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Option
Option A
B
Option
Option B
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Option
Option C
D
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Option D
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Soni inscribed a hexagon in a circle. At exactly how many points do the hexagon and circle intersect?

A
0
B
3
C
4
D
6
3

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?

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Option A
B
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Option B
C
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Option C
D
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Option D
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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?

A
32 in.
B
40 in.
C
80 in.
D
160 in.
5

The ratio of the diameters of two circles is y:z. What is the scale factor of the circles?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
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Option D
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The ratio of the radii of two circles is 4:5. What is the ratio of the circumferences of the two circles?

A
16:25
B
:5
Option B
C
4:5
Option C
D
4:5
7

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?

A
M, N, O, P, Q
B
M, P, O, N, Q
C
O, P, M, Q, N
D
P, O, M, Q, N
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The diagram below shows the partial construction of which shape?

Question illustration
A
a circle inscribed in a circle
B
an equilateral triangle inscribed in a circle
C
a regular hexagon inscribed in a circle
D
a square inscribed in a circle
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What is the first step when inscribing a square, equilateral triangle, or hexagon in a circle?

A
Connect the endpoints of the diameters to form a square.
B
Draw an arc that intersects the circle at two points.
C
Draw a circle around a diameter.
D
Connect all six points on the circle.
10

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

A
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.
B
Draw line segments to connect the points where the arc intersects the circle to both endpoints of the original diameter.
C
Construct an arc by placing the pencil at a point outside the circle and the point of the compass at the point where the diameter intersects the line segment.
D
Draw line segments to connect only the points where all three diameters intersect the circle to form a square.

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