Exploring Other Circle Theorems

What type of angle is formed when the vertex is on the circumference of a circle?

• Central angle

• Inscribed angle

• Interior angle

• Exterior angle

What is the measure of an angle formed by two chords that intersect at the circumference of the circle?

• Equal to the intercepted arc

• Half the measure of the intercepted arc

• Equal to half the sum of the intercepted arcs

• Twice the measure of the intercepted arc

If an angle is inscribed over a diameter of a circle, what is its measure?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

How can you determine the measure of an inscribed angle?

• Multiply the measure of the intercepted arc by two

• Divide the measure of the intercepted arc by two

• Subtract 90 degrees from the measure of the intercepted arc

• Add 90 degrees to the measure of the intercepted arc

What is the definition of a cyclic quadrilateral?

• A quadrilateral whose vertices lie on the same circle

• A quadrilateral whose sides are tangent to a circle

• A quadrilateral with two right angles

• A quadrilateral with all angles equal

In a cyclic quadrilateral, what is the sum of the measures of the opposite angles?

• 90 degrees

• 270 degrees

• 360 degrees

• 180 degrees

What is the sum of the measures of all angles in any quadrilateral?

• 180 degrees

• 360 degrees

• 450 degrees

• 270 degrees

What is the relationship between the angles at opposite vertices in a cyclic quadrilateral?

• They are none of the above

• They are equal

• They are supplementary

• They are complementary

What condition must be met for a line to be considered tangent to a circle?

• It must form a right angle with a chord of the circle

• It must intersect the circle at exactly one point and be perpendicular to the radius at the point of tangency

• It must be parallel to a diameter of the circle

• It must intersect the circle at exactly two points

What geometric shape is formed when two radii are drawn to points of tangency on a circle?

• Triangle

• Rectangle

• None of the above

• Trapezoid