Question

When constructing an inscribed square, how many lines will be drawn in the circle?

A. 2
B. 3
C. 5
D. 7

Answer 1

When constructing an inscribed square, the number of lines that will be drawn in the circle are:

Option: A ( A. 2)

Explanation:

The steps for construction of a inscribed square is as follows:

• Draw a circle of same radius.

• Now draw a diameter of a circle.

• Now draw the perpendicular bisector of the circle.

Now this perpendicular bisector also passes through the center of the circle.

Hence, we will get a square on connecting the end points of the diameter and perpendicular bisector.

Hence, the lines that will be drawn in the circle are : 2

Diameter and a perpendicular bisector which also act as a diagonal of the square.

Answer 2

A. 2

Explanation

To inscribe a square you need only 2 lines.

The following are the steps to inscribe a square:

1. Using your compass, draw a circle and label the center.

2. Using a ruler draw a diameter of the circle, labeling the endpoints A and B.

3. Construct the perpendicular bisector of the diameter AB and label the points where the bisector intersects the circle as C and D.

5. Connect points A to B to C to D to form the square.