Exploring Circle Geometry Concepts

What is a tangent line in relation to a circle?

• A line that intersects the circle at two points

• A line that touches the circle at exactly one point

• A line that is parallel to the circle

• A line that does not touch the circle at all

What is the angle formed between a tangent at the point of tangency and the radius?

• 90 degrees

• 30 degrees

• 180 degrees

• 45 degrees

In a right triangle formed by a radius and a tangent, if the radius is 8 units and one leg is 7 units, what is the length of the tangent?

• 9.7 units

• 8.5 units

• 10 units

• 7.5 units

What does the perpendicular from the center of the circle to a chord do to the chord?

• Divides it into two unequal parts

• Makes it a radius

• Bisects the chord into two equal parts

• Extends it beyond the circle

How does the perpendicular bisector of a chord relate to the circle's center?

• It is tangent to the circle

• It never touches the center

• It passes through the center

• It is always parallel to the radius

What is the relationship between a central angle and an inscribed angle that subtend the same arc?

• The central angle is four times the inscribed angle

• The inscribed angle is half the central angle

• There is no consistent relationship

• The central angle is half the inscribed angle

If a central angle subtends an arc of 120 degrees, what is the measure of an inscribed angle subtending the same arc?

• 120 degrees

• 60 degrees

• 90 degrees

• 30 degrees

What is the measure of an angle formed by two radii in a circle (central angle) if it subtends a 220-degree arc?

• 220 degrees

• 110 degrees

• 180 degrees

• 90 degrees

What property do all inscribed angles subtending the same arc share?

• They are all acute angles

• They are all obtuse angles

• They are all right angles

• They are all congruent

What type of angle is formed by an inscribed angle subtending a semicircle?

• Straight angle

• Obtuse angle

• Acute angle

• Right angle