Understanding Triangle ABC in a Circle

The video tutorial explains the properties of triangle ABC inscribed in a circle with center O and diameter AC. It highlights that AB equals AO, making triangle ABO equilateral. The tutorial concludes by calculating the angle ABO as 60 degrees, emphasizing the properties of equilateral triangles where all sides and angles are equal.

What is the relationship between AC and the circle in which triangle ABC is inscribed?

• AC is a tangent to the circle.

• AC is the diameter of the circle.

• AC is the radius of the circle.

• AC is a chord of the circle.

If AB is equal to AO, what can be inferred about AB?

• AB is longer than the radius.

• AB is shorter than the radius.

• AB is equal to the radius.

• AB is a tangent to the circle.

Which of the following is true about the lengths of AO, OB, and AB?

• AO is longer than OB.

• AB is longer than AO.

• OB is shorter than AB.

• AO, OB, and AB are all equal.

What is a key characteristic of an equilateral triangle?

• It has one right angle.

• All sides and angles are equal.

• All angles are different.

• All sides are of different lengths.

How many degrees do the angles in an equilateral triangle add up to?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the measure of each angle in an equilateral triangle?

• 45 degrees

• 60 degrees

• 30 degrees

• 90 degrees

What is the degree measure of angle ABO?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees