Circumscribed Circle and Triangle Construction

This video tutorial demonstrates how to draw a circumscribed circle around an equilateral triangle. It begins with constructing the triangle using a side length of 90 millimeters. The tutorial then explains how to draw perpendicular bisectors on two sides of the triangle to find the circumcenter. Finally, it shows how to use the circumcenter to draw the circumscribed circle, completing the geometric construction.

What is the first step in constructing an equilateral triangle with a circumscribed circle?

• Draw a perpendicular bisector.

• Construct a triangle with a side length of 90 millimeters.

• Draw the circumscribed circle.

• Label the triangle sides.

How do you label the first side of the equilateral triangle?

• Side BC

• Side AC

• Side AB

• Side BA

What tool is used to draw arcs above side AB?

• Set square

• Compass

• Protractor

• Ruler

What is the purpose of drawing perpendicular bisectors on the triangle?

• To determine the circumcenter.

• To find the midpoint of each side.

• To calculate the area of the triangle.

• To measure the angles of the triangle.

Where do the two perpendicular bisectors intersect?

• At the midpoint of side AB.

• At the centroid.

• At the circumcenter.

• At the midpoint of side BC.

What is the final step in constructing the circumscribed circle?

• Label the intersection points.

• Place the compass on the circumcenter and draw the circle.

• Draw arcs on both sides of side BC.

• Adjust the compass to the length of side AB.

What should you adjust the compass to when drawing the circumscribed circle?

• The length of side AB.

• The distance to any vertex.

• The length of side BC.

• The midpoint of the triangle.