Geometric Constructions: Creating a Square with Compass and Straight Edge

What is the first step in constructing a square with segment AB?

• Drawing a circle

• Measuring the length of AB

• Extending segment AB

• Drawing a triangle

What tool is used to set a width slightly less than AB?

• Protractor

• Compass

• Divider

• Ruler

What is the purpose of creating arcs from point B?

• To find the midpoint of AB

• To measure the length of AB

• To create a perpendicular line to AB

• To draw a circle

What do the intersections of the arcs and the extended line represent?

• Vertices of a triangle

• Midpoints

• Equidistant points from B

• Endpoints of AB

What is the next step after creating equidistant points from B?

• Creating another perpendicular line

• Drawing a circle

• Drawing a triangle

• Measuring the length of AB

What is the significance of the point directly above B?

• It is the endpoint of AB

• It helps in creating a perpendicular line to AB

• It is the midpoint of AB

• It is the center of a circle

What is the purpose of using the compass again after creating the perpendicular line?

• To draw a circle

• To create congruent sides

• To find the midpoint of AB

• To measure the length of AB

How do you ensure that the sides of the square are congruent?

• By using a ruler

• By using the compass to mark equal lengths

• By drawing a triangle

• By measuring with a protractor

What is the final step in constructing the square?

• Finding the midpoint of AB

• Connecting the points to form the square

• Drawing a circle

• Measuring the length of AB

What properties confirm that the constructed shape is a square?

• All sides are different lengths

• All angles are acute

• All sides are parallel

• All sides are congruent and all angles are right angles