Question

Question 10(Multiple Choice Worth 1 points)

(01.03 MC)


Which statement is not a step used when constructing an inscribed square?


Draw a diameter of the circle using a straightedge.

Swing an arc the length of the radius from the point on the circle.

Place the compass on the point where the circle and diameter intersect.

Swing two arcs above and below the diameter.

Answer 1

The statement that is not a step used when constructing an inscribed square is to swing two arcs above and below the diameter.

Step-by-step explanation:

The statement that is not a step used when constructing an inscribed square is: Swing two arcs above and below the diameter.

When constructing an inscribed square, the first step is to draw a diameter of the circle using a straightedge. Then, swing an arc the length of the radius from the point on the circle. After that, place the compass on the point where the circle and diameter intersect. The last step is to draw two arcs from the points where the compass intersects the circle, creating the square.

Answer 2

A statement which is not a step used when constructing an inscribed square is: B. Swing an arc the length of the radius from the point on the circle.

In Mathematics and Euclidean Geometry, an inscribed square can only be created when all four corners (edges) of the square lie perfectly on the circle.

Generally speaking, the diagonal of an inscribed square must be equal to the diameter of the circle.

In this context, some of the steps that should be followed when constructing an inscribed square include the following;

1. You should draw a diameter of the circle by using a straightedge.
2. You should place the compass on the point where the circle and diameter intersect.
3. You should swing two arcs above and below the diameter.

In conlusion, swinging an arc the length of the radius from the point on the circle is not a correct step used for the construction of an inscribed square.